Chapter 5: Q. 55 (page 498)

In the following exercises, add the polynomials.
$(7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n)$

Short Answer

Expert verified

Hence,

$(7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n) = 10 m^{2} + 3 m n - 8 n^{2}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsis \\ (7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n) \\ Wehavetofindthesumofthepolynomials. \end{array}$

Step 2. Add the polynomials

$\begin{array}{l} \Rightarrow (7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n) \\ = 7 m^{2} + m n - 8 n^{2} + 3 m^{2} + 2 m n [Rewritewithoutparentheses] \\ = 7 m^{2} + 3 m^{2} + m n + 2 m n - 8 n^{2} [Combinetheliketerms] \\ = 10 m^{2} + 3 m n - 8 n^{2} [Simplify] \end{array}$

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In the following exercises, add the polynomials.
$(7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Add the polynomials

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In the following exercises, add the polynomials.7m2+mn-8n2+3m2+2mn

Short Answer

Step by step solution

Step 1. Given information

Step 2. Add the polynomials

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Calculus

Discrete Mathematics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, add the polynomials.
$(7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n)$