Chapter 5: Q. 58 (page 499)

In the following exercises, add or subtract the polynomials.
$(m^{2} + 2 n^{2}) - (m^{2} - 8 m n - n^{2})$

Short Answer

Expert verified

Hence,

$(m^{2} + 2 n^{2}) - (m^{2} - 8 m n - n^{2}) = 3 n^{2} + 8 m n$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsis \\ (m^{2} + 2 n^{2}) - (m^{2} - 8 m n - n^{2}) \\ Thesignbetweenpolynomialsis' -' . \end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l} \Rightarrow (m^{2} + 2 n^{2}) - (m^{2} - 8 m n - n^{2}) \\ = m^{2} + 2 n^{2} - m^{2} + 8 m n + n^{2} [Rewritewithoutparentheses] \\ = m^{2} - m^{2} + 2 n^{2} + n^{2} + 8 m n [Combinetheliketerms] \\ = 0 + 3 n^{2} + 8 m n [Simplify] \\ = 3 n^{2} + 8 m n \end{array}$

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In the following exercises, add or subtract the polynomials.
$(m^{2} + 2 n^{2}) - (m^{2} - 8 m n - n^{2})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Subtract the polynomials

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In the following exercises, add or subtract the polynomials.m2+2n2-m2-8mn-n2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Subtract the polynomials

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In the following exercises, add or subtract the polynomials.
$(m^{2} + 2 n^{2}) - (m^{2} - 8 m n - n^{2})$