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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.246. (page 537)

Find the product of the below expression.
$(7 a + b) (a - 7 b)$

Short Answer

Expert verified

The solution is $7 a^{2} - 48 a b - 7 b^{2}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $(7 a + b) (a - 7 b)$ .

02

Step 2. Simplify the expressions by using the distributive property ab±c=ab±ac.

Solve it as follows:

$(7 a + b) (a - 7 b) = 7 a (a - 7 b) + b (a - 7 b) 鈬� 7 a^{2} - 49 a b + a b - 7 b^{2} 鈬� 7 a^{2} - 48 a b - 7 b^{2}$

03

Step 3. Simplified expression.

Hence, the required expression is $7 a^{2} - 48 a b - 7 b^{2}$ .

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