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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 7: Q17. (page 463)

Find each product.
$a (a^{2} + 2 a - 10)$

Short Answer

Expert verified

The product of $a (a^{2} + 2 a - 10)$ is $a^{3} + 2 a^{2} - 10 a$ .

Step by step solution

01

Step 1. Write distributive property.

For any numbers, $a, b$ and c, $a (b + c) = a b + a c$ .

02

Step 2. Apply distributive property.

Apply distributive property to the given expression.

$a \cdot a^{2} + a \cdot 2 a - a \cdot 10$

03

Step 3. Multiply.

Multiply terms in the above expression.

$a^{3} + 2 a^{2} - 10 a$

Therefore, the product of $a (a^{2} + 2 a - 10)$ is $a^{3} + 2 a^{2} - 10 a$ .

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Most popular questions from this chapter

Simplify the expression

$(k) (k^{3})$

Choose a term from the Key Vocabulary list above that best describes the given expression.

$x^{2} - 3 x + 2$

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Which inequality is shown in the graph?

F $y \leq \frac{- 2}{3} x - 1$

G $y \leq \frac{- 3}{4} x - 1$

H $y \leq \frac{- 2}{3} x + 1$

J $y \leq \frac{- 3}{4} x + 1$

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Which equation of a line is perpendicular to $y = \frac{3}{5} x - 3$ .

$y = - \frac{5}{3} x + 2$
localid="1647685604672" $y = \frac{5}{3} x - 2$
localid="1647685608421" $y = - \frac{3}{5} x + 2$
$y = \frac{3}{5} x - 2$

Find each product.

$(2 a - 5) (3 a + 5)$

See all solutions

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