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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.445R (page 561)

In the following exercises, multiply the binomials. Use any method.
$(2 y - 9) (5 y - 7)$ .

Short Answer

Expert verified

Using the distributive property $(2 y - 9) (5 y - 7) = 10 y^{2} - 59 y + 63$ .

Step by step solution

01

Step 1

Recall the distributive property that $a 路 (b + c) = a 路 b + a 路 c$ .

02

Step 2

Apply the distributive property and multiply:

$\begin{array}{rcl} (2 y - 9) (5 y - 7) & = & 2 y (5 y - 7) + (- 9) (5 y - 7) \\ = & 2 y (5 y) + 2 y (- 7) + (- 9) (5 y) + (- 9) (- 7) \\ = & 10 y^{2} - 14 y - 45 y + 63 \\ (2 y - 9) (5 y - 7) & = & 10 y^{2} - 59 y + 63 \end{array}$

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