Chapter 5: Q. 5.9 (page 491)

$Find the difference: (8 x^{2} + 3 x - 19) - (7 x^{2} - 14)$

Short Answer

Expert verified

The difference between the polynomials is $x^{2} + 3 x - 5$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialexpressionis \\ (8 x^{2} + 3 x - 19) - (7 x^{2} - 14) \\ Wehavetofindthedifference. \end{array}$

Step 2. Distribute and identify like terms

$\begin{array}{l} Wehave (8 x^{2} + 3 x - 19) - (7 x^{2} - 14) \\ Distributeandidentifyliketermsandthenrearrangetheterms \\ \Rightarrow (8 x^{2} + 3 x - 19) - (7 x^{2} - 14) = \underline{8 x^{2}} + 3 x - 19 - \underline{7 x^{2}} + 14 \\ = (8 - 7) x^{2} + 3 x - 19 + 14 \\ = x^{2} + 3 x - 5 \end{array}$

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$Find the difference: (8 x^{2} + 3 x - 19) - (7 x^{2} - 14)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

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Find the difference:8x2+3x-19-7x2-14

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

Probability and Statistics

Pure Maths

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

$Find the difference: (8 x^{2} + 3 x - 19) - (7 x^{2} - 14)$