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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.449R (page 561)

In the following exercises, multiply the binomials. Use any method.
$(10 a - 1) (3 a - 3)$ .

Short Answer

Expert verified

Using the distributive property, $(10 a - 1) (3 a - 3) = 30 a^{2} - 33 a + 3$ .

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:

$\begin{array}{rcl} (10 a - 1) (3 a - 3) & = & 10 a (3 a - 3) + (- 1) (3 a - 3) \\ = & 10 a (3 a) + 10 a (- 3) + (- 1) (3 a) + (- 1) (- 3) \\ = & 30 a^{2} - 30 a - 3 a + 3 \\ (10 a - 1) (3 a - 3) & = & 30 a^{2} - 33 a + 3 \end{array}$

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