Chapter 5: Q. 5.10 (page 491)

$Find the :difference (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7)$

Short Answer

Expert verified

The difference of the given polynomials is $6 b^{2} + 3$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialexpressionis \\ (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7) \\ Wehavetofindthedifference. \end{array}$

Step 2. Distribute and identify like terms

$\begin{array}{l} Wehave (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7) \\ Distributeandidentifyliketermsandthenrearrangetheterms \\ \Rightarrow (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7) = \underline{9 b^{2}} - \underline{\underline{3 b}} - 4 - \underline{3 b^{2}} + \underline{\underline{5 b}} + 7 \\ = (9 - 3) y^{2} + (- 5 + 5) b - 4 + 7 \\ \begin{array}{l} = 6 b^{2} + 0 b + 3 \\ = 6 b^{2} + 3 \end{array} \end{array}$

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$Find the :difference (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

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Find the:difference9b2-5b-4-3b2-5b-7

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

$Find the :difference (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7)$