Problem

Add the polynomials. $$ (0.3 p+2.1 q)+(0.4 p-3 q)…

01:16

Problem 32 Medium Difficulty

Add the polynomials.
$$
\left(\frac{1}{16} r^{6}+\frac{1}{2} r^{3}-\frac{11}{12}\right)+\left(\frac{9}{16} r^{6}+\frac{9}{4} r^{3}+\frac{1}{12}\right)
$$

Answer

$\frac{5}{8} r^{6}+\frac{11}{4} r^{3}-\frac{5}{6}$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 5

Exponents and Polynomials

Section 5

Adding and Subtracting Polynomials

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Video Transcript

and this problem were being asked to add the two given pollen. All meals will remember toe Add Paulino meals were going to use to community and the social of properties, which will allow us to regroup and reorder our terms. So that way we can get our like terms together. So let's start with the first term. One over 16 are to the six. Well, it's late term will be nine over 16 are to the six, so weaken group these together as the quantity of one over 16 are to the six power plus nine over 16 are to the six power Well, our next term is 1/2 our to the third and it's like term is 94 starts of the third, so we can group piece together. So plus the quantity of 1/2 are to the third plus nine Force are to the third. Well, our next term is negative 11 twelves and it's like term is positive. 1 12 So again, weaken group these together, so we'll have, plus the quantity a negative 11 over 12 plus one over to wolf. Now we simply just need to combine our like terms. So let's start with the first set of preface is well, we have one over 16 arts. Of the six plus nine over 16 are to the six Well, one over 16 plus nine over 16 is 10 over 16 so we'll be left with 10 over 16 are to the six Power and our second set of Prem theses were being asked to add 1/2 our to the third plus nine. Four star to the third while we're adding fractions, but they don't have the same denominator. So we first ringtone need to rewrite these fractions with the same denominator. Well, in this case, are least common. Denominator is going to be four. So what we can do is multiply our first fraction by two over, too. We don't need to change our second fraction because it's denominator is already for, so we'll have, plus the quantity of to force our to the third plus nine Force are to the third and their last other prophecies. We have negative 11 over 12 plus one over 12 which is negative. 10 over 12 So I'm minus 10 over 12. Now let's go back to that first term tell over 16 are to the six will tell over 16 can be reduced by dividing both the numerator and denominator by two. So that will give us five over eight are to the six. Now, For the Southern parentheses we have we have to force plus nine force, which is 11 4th So we're gonna have 11 force are to the third. And if we look at our last term 10 over 12 that can be reduced by dividing both the numerator and the denominator by two. And when we do that, we'll be left with negative five over six. And now our final answer is five over eight are to the six plus 11 force are to the third minus 56

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