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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. 254 (page 537)

In the following exercises, find the product of ${(9 p + 8 q)}^{2}$ .

Short Answer

Expert verified

The product of ${(9 p + 8 q)}^{2}$ is $81 p^{2} + 144 p q + 64 q^{2}$ .

Step by step solution

01

Step 1. Given Information.

Considering the given expression is ${(9 p + 8 q)}^{2}$ .

02

Step 2. Solve for the multiplication of given expression.

Multiply the expression ${(9 p + 8 q)}^{2}$ .

${(9 p + 8 q)}^{2} = {(9 p)}^{2} + 2 路鈥� 9 p 路鈥� 8 q + {(8 q)}^{2} {(9 p)}^{2} + 2 路鈥� 9 p 路鈥� 8 q + {(8 q)}^{2} = 81 p^{2} + 144 p q + 64 q^{2}$

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Most popular questions from this chapter

In the following exercises . Simplify the expression $(10 y 鈭� 6) + (4 y 鈭� 7)$ .

Write number (a) 1,290,000 (b) 0.00000103 in scientific notation

Solve the square using the binomial squares pattern.

${(q + 12)}^{2}$

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial

$(a) 64 k^{3} - 8 (b) 9 m^{3} + 4 m^{2} - 2 (c) \frac{5}{6} (d) 8 a^{4} - 7 a^{3} b - 6 a^{2} b^{2} - 4 a b^{3} + 7 b^{4} (e) - p^{4} q^{3}$

Use synthetic division to find the quotient and remainder.

$x^{3} - 6 x^{2} + 5 x + 14$ is divided by $x + 1$

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