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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.349. (page 558)

Add or subtract the polynomials.
$(8 m^{2} + 12 m - 5) - (2 m^{2} - 7 m - 1)$

Short Answer

Expert verified

The solution is $6 m^{2} + 19 m - 4$ .

Step by step solution

01

Step 1. Given information.

The given polynomial is $(8 m^{2} + 12 m - 5) - (2 m^{2} - 7 m - 1)$ .

02

Step 2. Simplify the expression.

Combine the like terms.

$(8 m^{2} + 12 m - 5) - (2 m^{2} - 7 m - 1) = 8 m^{2} - 2 m^{2} + 12 m + 7 m - 5 + 1 (8 m^{2} + 12 m - 5) - (2 m^{2} - 7 m - 1) = 6 m^{2} + 19 m - 4$

03

Step 3. Simplified answer.

Hence, the required polynomial is $6 m^{2} + 19 m - 4$ .

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