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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 6: Q 284. (page 729)

Simplify the polynomial.
$(a^{2} - 3 a) (4 a + 5)$

Short Answer

Expert verified

The required answer is $4 a^{3} - 7 a^{2} - 15 a$ .

Step by step solution

01

Step 1. Given information.

The given expression is $(a^{2} - 3 a) (4 a + 5)$

02

Step 2. Simplify the expression.

By using FOIL method.

$(a^{2} - 3 a) (4 a + 5) = a^{2} \times 4 a + a^{2} \times 5 - 3 a \times 4 a - 3 a \times 5 = 4 a^{3} - 7 a^{2} - 15 a$

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Most popular questions from this chapter

In the following exercises, multiply

$9 r^{3} (r^{2} - 3 r + 5)$

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Simplify the polynomial.

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