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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.49 (page 524)

Multiply: (a) $(5 y^{7}) (- 7 y^{4})$
(b) $(\frac{2}{5} a^{4} b^{3}) (15 a b^{3})$ .

Short Answer

Expert verified

Result is

(a) $- 35 y^{11}$

(b) $6 a^{5} b^{6}$

Step by step solution

01

part (a) Step 1 Given information

$(5 y^{7}) (- 7 y^{4})$

02

part (a) Step 2

$(5 y^{7}) (- 7 y^{4}) = 5 \times - 7 \times y^{7 + 4} = - 35 y^{11}$

03

part (b) Step 1 Given information

$(\frac{2}{5} a^{4} b^{3}) (15 a b^{3})$

04

part (b) Step 2

$(\frac{2}{5} a^{4} b^{3}) (15 a b^{3}) = \frac{2}{5} \times 15 \times a^{4 + 1} \times b^{3 + 3} = 6 a^{5} b^{6}$

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$Subtract (a^{2} + 5 a b - 6 b^{2}) from (a^{2} + b^{2})$

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