Chapter 7: Q57. (page 462)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Define an expression.

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

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

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

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

Use equation (1) to find the product.

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

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

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

Short Answer

Step by step solution

Step 1. Define an expression.

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

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

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Find the product.(3m−2)(3m+2)

Short Answer

Step by step solution

Step 1. Define an expression.

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

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