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Subtract the polynomials.$$\left(m n+8 n^{2}\right)-\left(6-5 m n+n^{2}\right)$$
$7 n^{2}+6 m n-6$
Algebra
Chapter 5
Exponents and Polynomials
Section 5
Adding and Subtracting Polynomials
Polynomials
Missouri State University
Oregon State University
Harvey Mudd College
Idaho State University
Lectures
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we're being asked to subtract the two Given Paul Ingle bells well, when subtracting Paulino meals, all we need to do for the terms in the first polynomial. In other words, two terms in the first prophecy. We simply need to bring down. So we'll have m n Plus eight and square Now, in our second percent of prophecies, the polynomial that's getting subtracted by the 1st 1 We simply need to change the signs of each of the terms, and then we can drop the parentheses. So when other words that positive six will become negative six the negative five m n will become positive. Five. M n and the positive end square will become negative at its core. Now we simply need to combine lay terms. Well. Our first term is MN, and it's like Term is positive. Five. Mn Keep in mind there's a coefficient of a one in front of the end turn Well, one plus five is equal to six, so we'll have six em. Our next term is eight and squared. Well, it's like term is negative and square. Keep in mind that there isn't imaginary one in front of that and square, so we really need to find a minus one, which is seven. So we'll have positive seven and square, and our next term is negative. Six. But if you know this, it doesn't have a late term, so we simply need to bring it down into our final answer to our final answer is six m n plus seven and squared minus six.
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