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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q17. (page 463)

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

Short Answer

Expert verified

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

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.

$a 鈰� a^{2} + a 鈰� 2 a 鈭� a 鈰� 10$

03

Step 3. Multiply.

Multiply terms in the above expression.

$a^{3} + 2 a^{2} 鈭� 10 a$

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

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Most popular questions from this chapter

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

4 t^{5} + 3 t^{2} + t

Simplify each expression.

$\frac{1}{2} {(2 x^{3})}^{3}$

Express the area of a triangle with height of $4 a$ and a base of $5 a b^{2}$ as a monomial.

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$(5 u^{4} v) (7 u^{4} v^{3})$

FINANCIAL LITERACY Cleavon has money in an account that earns 3% simple interest. The formula for computing simple interest is $I = \Pr t$ , where $I$ is the interest earned, P represents the principal that he put into account, r is the interest rate (in decimal form), and t represents time in years.

a. Cleavon makes a deposit of $\(2 c$ and leaves it for 2 years. Write a monomial that represents the interest earned.

b. If c represents a birthday gift of \)250, how much will Cleavon have in this account after 2 years?

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