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Perform the operations.$$\left(5 m^{2}-8 m+8\right)-\left(-20 m^{2}+m\right)$$

$05 m^{2}-9 m+8$

Algebra

Chapter 5

Exponents and Polynomials

Section 5

Adding and Subtracting Polynomials

Polynomials

Missouri State University

Oregon State University

Baylor University

Lectures

01:32

In mathematics, the absolu…

01:11

01:56

Perform the operations.

01:25

Perform the indicated oper…

01:57

01:36

02:01

00:46

Perform each indicated ope…

02:18

01:05

01:02

03:09

00:42

04:18

02:16

01:22

00:48

00:38

00:47

01:50

and this problem. We're being asked to perform the giving operations for this particular problem. We're being asked to subtract the to Polly no meals on. We know it's a subtraction problem because in between both sets of Prem theses, there's a minus sign. Well, how do we subtract two palling? No meals? Well, we're gonna first take each of the terms in the first polynomial and just rewrite them, just not in the prophecy. So what? Five m squared minus 8 a.m. plus e. Now for a second set of parentheses, which is the polynomial getting subtracted from the first? What we're going to do is change the sign of each of the terms and then drop the parentheses. So, in other words, that negative 20 m squared will become positive. 20 m squared and the positive M will become negative them. Now we simply just need to combine light terms. Well, five m squared has a late term of 20 m squared Well, five plus twenties 25. So we'll have 25 m squared. Our next term is negative eight and and it's like term is negative. M. Keep in mind that negative M hasn't imagine everyone in front of it. Well, negative eight minus one is negative. Nine. So we have negative nine, and the last term is positive. Well, if you notice it doesn't have a late term, so we just need to bring it down for a final answer. So our final answer will be 25 m squared, minus nine plus D.

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