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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 7: Q55. (page 462)

Find the product.
$(2 x - 3) (2 x + 3)$

Short Answer

Expert verified

The final answer is $4 x^{2} - 9$ .

Step by step solution

01

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

02

Step 2. Expand the identity, (a+b)(a−b).

$(a + b) (a - b) = a^{2} - b^{2} \dots \dots \dots . (1)$

03

Step 3. Calculate the product (2x−3)(2x+3).

Use equation (1) to find the product.

$\begin{matrix} (2 x - 3) (2 x + 3) = {(2 x)}^{2} - 3^{2} \\ = {(2)}^{2} {(x)}^{2} - 9 \\ = 4 x^{2} - 9 \end{matrix}$

Therefore, the final answer is $4 x^{2} - 9$ .

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Most popular questions from this chapter

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

Identify the expression below that does not belong with the other two. Explain.

$(3 m - 2 n) (3 m + 2 n)$

$(3 m + 2 n) (3 m + 2 n)$

$(3 m + 2 n) (3 m - 2 n)$

Simplify the expression

${[{(3^{2})}^{2}]}^{2}$

Simplify each expression.

${(2 x^{2})}^{3} {(x^{3})}^{3}$

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

${(a^{7})}^{3} = a^{21}$

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

What is the solution to the following system of equations? Show your work.

$\{\begin{cases} y = 6 x - 1 \\ y = 6 x + 4 \end{cases}$

See all solutions

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