perform-the-indicated-operations-and-write-the-result-in-simplest-form-3-x1x-2

Question

Perform the indicated operations and write the result in simplest form.
$(3 x+1)(x-2)$

M S · Accepted Answer

serving a multiplier binomial. Bye bye. No, mule. This means we&#x27;re gonna use the foil method. So we have first outer, you know, unless this just helps us keep everything organized. So we won&#x27;t apply everything and in good order. So it&#x27;s like our first times next time streaks not to give us free X squared because we add one plus one. They were due to outer terms. So this time, times this time which gives us we&#x27;re sort of negative too, is negative. Six. We&#x27;re not ex doing even enter times one times x vicious ex and in the last terms, one times United to is negative too. And because these two middle terms here have the same degree of one week in simple by the coefficients. So we have three x squared and negative. Six plus one is 95 that&#x27;s just specks then minus two

M S · Answer

so we have exposed three times to X minus one. So first we need to know that we&#x27;re going to use the foil myth it. That means we do the first the outer, the other times in the last terms. We&#x27;ll use foil whenever we want to. Pie binomial Bye bye, No meal. It&#x27;s just an easy way to help us keep track of what we&#x27;ve already multiplied. So we do the first terms. So we have two x times x the outer terms so X times negative one the inner terms So three terms to X and then the last terms 1st 3 times negatively. So now he&#x27;s simple by So have I. Two x squared as we add those exponents that understood one here and understood one here one plus one is two then x times negative blankets as minus X. Is that understood? One here. So that&#x27;s how I multiply those course to service 36 x and freeze up like one iss negative three. And if we simplify this more, we have two x squared and six months. One gives us five x one in minus three and we could simplify these middle terms here because they have the same degree of one

Brittany Scott · Answer

I like to rewrite this with a common denominator. So my common denominator would be X minus one times X plus one. So in a rewrite that we also need to rewrite the top. So I&#x27;d have to eggs minus three times our X plus one real Subtract that from two X plus one. No pregnancy. So we don&#x27;t miss that negative times Next plus one. So let&#x27;s start most playing these out. So in this 1st 1 we have the two extremes X, which would give us two X squared plus our two x minus or three X minus three. So I&#x27;m gonna make sure that this is all over X minus one times Air X plus one. So to keep this negative here and again, make those parentheses so I don&#x27;t forget it. So are two x times x gives us two X squared plus two x waas X plus one. Okay, so now I want to rewrite this by distributing that negative through. So we have a negative to act squared minus three x minus one. So it takes care of from here over scenario, take these terms here and add them to the terms here on the left. So if I had a two x squared minus two x squared, I have no more X. Where? Terms. And here I have two X minus three executed me and negative X and I also in negative through yet. So that would give me a night of four x septic. You care this term this term this term. So now I&#x27;m down to this night of three and negative one, which shows together would be the night before. Well, over. Okay, thanks. Minus one times X plus one. So one thing I see it, I can still factor out of this top part is a native for And if I do that, that&#x27;s going to give me X plus one over X minus one times X plus one soon now, because exposed one over X plus one would equal one. I can cross these out. So my final answer is now knighted for over X minus one

Charles Stowe · Answer

so we have X over X plus one worth two X minus three over X minus one. We&#x27;re adding fractions. We want to make sure that the denominator is not in this case, they do not. So my suggestion is whenever you&#x27;re denominators are probably no meals. Is that your most parting by each other? So what we now have is a denominator of X plus one X minus one. As far as the numerator goes to change the first fresh we had to multiply by X minus one to the top, into the bottle to the new mayor into the denominator. So are first numerator. Here is eggs times X minus one and we&#x27;re adding. So we&#x27;re going to add a second numerator, which is multiplied by X plus one to the denominator and to the numerator. And so that would be two X minus three times X plus one. So now we need to do is we need to do some, um, cleaning up here when you distribute. So we&#x27;re going to distribute the X here, and we&#x27;re going to distribute the other two x ever here and the negative three there and then the bottom. We&#x27;re going to distribute our X and R one. So we put that all together. What we have is X squared, um, minus eggs plus two X squared plus two X minus three eggs minus three and that is all over. That&#x27;s cleaning up a little bit here and that is all over. X squared, minus eggs plus eggs minus one. You know, we&#x27;re almost finished. We just want to combine like terms here. So we&#x27;ve got and that&#x27;s squared a two x squared they can combine And then we&#x27;ve got, um, are negative eggs. That&#x27;s a light term with the two X and the negative three X and then on the bottom we can combine our negative x with our positive X given us a final answer of three X squared minus two X minus three over X squared minus one.

Karly Williams · Answer

we have three over X plus one plus 2/3 X. So we&#x27;re gonna do our least common multiple or denominator. Rather. So we&#x27;re gonna multiply these by each other to keep it in the simplest form. All right, so we&#x27;re gonna have nine x over three x Times X plus one plus two X plus two over the same thing. All right, so we&#x27;re gonna add our exes. Gives us 11 x plus two over three x Tom&#x27;s X Plus one.

Charles Stowe · Answer

we have two minus explosive, one over X, divided by three plus X minus one over X plus one. And this is a division problem. Before we can divide anything, we&#x27;ve got to look what&#x27;s going on. A numerator and denominator is the same as if they were in parentheses. So what&#x27;s going on em? Aerators We&#x27;re attracting and it&#x27;s going on. Denominators were adding, but they both have a fraction piece. So in order for us to address attract fractions, we&#x27;ve got that a common denominator. And right now we don&#x27;t because whole numbers are technically over one and these other factions are not over one. So our first that we would do is to combine these two things. So for our numerator, we now have, um our denominator here should be eggs. And so this is now too, eggs, because we had to multiply it times eggs. Here we have the most part about what the denominator is minus X plus one, because that stays the same divided by three X plus three, because we must what this times exports one plus X minus one all over X plus one. So now we&#x27;ve got a division problem here before we really go further. Let&#x27;s combine like terms. So we&#x27;ve got a two X and A minus sex. So that would then become just X plus one over eggs divided by and here we got a three X and an ex and then a three and a minus one. So we have here is to eggs plus two over X plus one. I&#x27;m sorry. That&#x27;s adding that&#x27;s not a to eggs. That is going to be a four x. Excuse me, cause we did three x plus at okay, over X plus one. So now I&#x27;ve got divisions. The way we divide is we keep our first fraction exports one over X and multiply by the reciprocal of our second frank, which would just be, um um I&#x27;m sorry up here because this was subtraction. There&#x27;s no easy way to fall to mess up. That should be a minus eggs, But this should also be a minus one, which then makes this a minus one and that a minus one. So my my mistake there easy mistake to make. You&#x27;ve got to watch your subtraction because this whole pieces being subtracted. Okay, so that&#x27;s X minus one times and X plus one over four X Plus two, which makes our final solution, and we can leave it in the factor for him. X minus one times exports one over eggs times four X toss to

Problem

Perform the indicated operations and write the re…

Problem 12 Easy Difficulty

Perform the indicated operations and write the result in simplest form.
$(3 x+1)(x-2)$

Answer

$3 x^{2}-5 x-2$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Anna Marie V.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

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$3 x^{2}-5 x-2$

Algebra 2 and Trigonometry

Grace H.

Anna Marie V.

Kristen K.

Michael J.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Anna Marie V.

Kristen K.

Michael J.

Ann Xavier Gantert

Algebra 2 and Trigonometry