in-3-12-write-the-sum-or-difference-of-the-given-polynomials-in-simplest-form-left2-a4-5-a2-1rightle

Question

In $3-12,$ write the sum or difference of the given polynomials in simplest form. 
$$
\left(2 a^{4}-5 a^{2}-1\right)+\left(a^{3}+a\right)
$$

Joshua Utley · Accepted Answer

Okay, so we&#x27;re told to write this and simplest form this pollen of meals, some here and so right off the bat. What I see is that between the two polynomial is being added. There are no like terms. And so all I can really do here is write out the full thing minus five squared minus one plus a cute plus A. I can write up this full piece here and then all I can really do is arrange it so that the exponents are going in decreasing. Porter, that&#x27;s about as simple as you can make this.

Aditya Sood · Answer

right. The sum or difference off the given Polly No meals. Its simplest form. So we have the expression. Why is you go to a squared B squared minus a B plus five plus a squared B squared, plus a B minus three so we can drop the parentheses and we get a squid B squared minus a B plus five plus a squared B squared, plus a B minus. Three. You know, we can combine like terms, so we get to a square B, squared the negative baby and the positive AP cancel out, and we get plus five minus tree, which is positive to severe left words to a squared B squared plus two. Finally, we will factor at the two because we want to get this its simplest form. So we get to times eastward B squared plus one.

Joshua Utley · Answer

all right. We&#x27;re as to put the difference of these pollen of meals and simplest form. And so we&#x27;re going to expand it out as far as I can by distributing this A negative sign up here, out all the turns. And so I get minus three X squared plus 10 x here and minus three. And now I can combine my life turns four X squared minus three X squared is just one X squared minus three X plus 10 acts here and here Gives me plus seven x minus of minus three. Gives me minus C and you&#x27;re done.

Aditya Sood · Answer

right, The sum or difference of two given polynomial in simplest form. Our expression given to us is three plus two B plus B squared, minus nine plus five B plus B squared. The first thing we want to do here is distribute the negative sign and take down all the parentheses. So we get the three plus two B plus B squared minus nine minus five B minus B squared. Now we want combine like terms. So the the negative B squared and the past to be squared. Well, essentially cancel out. So good earth we can get out of this. And now we&#x27;re left with to be minus five B, which is negative. Three B. It&#x27;s a to B minus five. Be leases with negative three b and then three minus nine receives us with negative six. In this expression, we can take out the negative three. We can factor that out, eh? So we&#x27;re left with negative three times B plus two in currencies

Joshua Utley · Answer

All right, We&#x27;re asked to write this sum and simplest form. And so what we&#x27;re gonna do is we&#x27;re just going to find our, like terms and combine them. So I need to find everything with an ax squared haven&#x27;t explored here and here. And so I need to combine them. So I have a one x squared here and a four x squared here, and it looks like I&#x27;m adding them. And so I should have a five x square, and then let&#x27;s find all of our terms with excess. Oh, no. Looks like I have three here, minus two here. And so it&#x27;s a plus minus two. So we&#x27;re subtracting too, so we have the re X minus two X. That leaves us with one X and that I need to find the constant term. So I have minus two here, plus three here, which is gonna give me plus one

Aditya Sood · Answer

rite of summer difference at the Given Polly Normals and Simplest Form four X Squared Ministry X minus seven plus three X squared minus two X plus three. So our first step is going to be keeping the terms rearranging this so that the terms like terms are next to each other. So for X squared and three exclude are going to be next to each other s o. So for a square, blustery explode and then negative three x and negative two x are also together and negative. Seven and positive three are also together. And so now we will simply combine these light terms. So from four x squared plus three x squared, we get seven x squared from negative three x and negative two Ex get negative three x minus two x is equal negative five x and lastly, we get negative. Seven plus three is negative for and this is a pretty normal and it&#x27;s

Problem

In $13-22,$ solve each equation or inequality. Ea…

Problem 12 Easy Difficulty

In $3-12,$ write the sum or difference of the given polynomials in simplest form.
$$
\left(2 a^{4}-5 a^{2}-1\right)+\left(a^{3}+a\right)
$$

Answer

$2 a^{4}+a^{3}-5 a^{2}+a-1$

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$2 a^{4}+a^{3}-5 a^{2}+a-1$

Algebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Maria G.

Kristen K.

Absolute Value - Example 1

Absolute Value - Example 2

Ann Xavier GantertAlgebra 2 and Trigonometry

Catherine R.

Anna Marie V.

Maria G.

Kristen K.

Ann Xavier Gantert

Algebra 2 and Trigonometry