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Write without parentheses.a. $-\left(5 x^{2}-8 x+23\right)$b. $-\left(-5 y^{4}+3 y^{2}-7\right)$
a. $-5 x^{2}+8 x-23$b. $5 y^{4}-3 y^{2}+7$
Algebra
Chapter 5
Exponents and Polynomials
Section 5
Adding and Subtracting Polynomials
Polynomials
Missouri State University
Campbell University
Idaho State University
Lectures
01:32
In mathematics, the absolu…
01:11
03:34
Simplify.$$\frac{5 x+7…
00:27
Simplify each expression.<…
00:35
Perform indicated operatio…
01:02
Simplify.$$\left(4…
03:06
Expressions with Exponents…
00:31
Perform the operations and…
00:23
Subtract.$$\begin{…
02:06
Perform the indicated oper…
00:30
06:35
Simplify.$$\frac{\…
we're being asked to write the following without parentheses. So let's look at part A Were being asked to write negative the quantity of five X squared minus eight X plus 23 without parentheses. Well, take a look That negative outside of the prophecies, that's really a negative one. So we can insert a negative one in front. Now we simply need to multiply each term inside our prophecies by negative one. So first, when I multiply five x squared by negative one, we're going to get negative five x squared. Next, I'm going to multiply a negative eight x by negative one and that will give me positive eight X And lastly, we're gonna multiply negative one by positive 23 which is negative. 23. So know this All it does is change is the signs of each of the terms inside that second inside that prem facie Well, part B is very similar. Negative on the outside really has a negative one Because of this negative one. Run me Multiply each term within our second from within our Prem theses. We're just going to change the sign. So negative one times negative five white to the four becomes positive. Five y two before negative one times three wide to the second becomes negative. Three. White to the second and negative one times negative seven becomes positive. Seven. So again, a negative one outside of Trump sees. All it does is change is the sign of each term within the prophecy.
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