Chapter 5: Q. 57 (page 499)

In the following exercises, add or subtract the polynomials.
$(a^{2} - b^{2}) - (a^{2} + 3 a b - 4 b^{2})$

Short Answer

Expert verified

Hence,

$(a^{2} - b^{2}) - (a^{2} + 3 a b - 4 b^{2}) = 3 b^{2} - 3 a b$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsis \\ (a^{2} - b^{2}) - (a^{2} + 3 a b - 4 b^{2}) \\ Thesignbetweenpolynomialsis' -' . \\ Thus,Wehavetosubtractthepolynomials. \end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l} \Rightarrow (a^{2} - b^{2}) - (a^{2} + 3 a b - 4 b^{2}) \\ = a^{2} - b^{2} - a^{2} - 3 a b + 4 b^{2} [Rewritewithoutparentheses] \\ = a^{2} - a^{2} - b^{2} + 4 b^{2} - 3 a b [Combinetheliketerms] \\ = 0 + 3 b^{2} - 3 a b [Simplify] \\ = 3 b^{2} - 3 a b \end{array}$

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In the following exercises, add or subtract the polynomials.
$(a^{2} - b^{2}) - (a^{2} + 3 a b - 4 b^{2})$

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.a2-b2-a2+3ab-4b2

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

Probability and Statistics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, add or subtract the polynomials.
$(a^{2} - b^{2}) - (a^{2} + 3 a b - 4 b^{2})$