Chapter 7: Q. 418 (page 899)

Factor Differences of Squares
In the following exercises, factor.
$49 a^{2} - 144$

Short Answer

Expert verified

The factors of $49 a^{2} - 144 = (7 a + 12) (7 a - 12)$

Step by step solution

Step 1. Given information

The given differences of squares $49 a^{2} - 144$

Step 2. Finding the factors for given differences of squares

We can find the factors as follows

Use the sum product pattern

$49 a^{2} - 144 = 49 a^{2} + 84 a - 84 a - 144$

Common factors from the two pairs

$7 a (7 a + 12) - 12 (7 a + 12)$

Rewrite in factored form

$(7 a + 12) (7 a - 12)$

Therefore,the factors of $49 a^{2} - 144 = (7 a + 12) (7 a - 12)$

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Factor Differences of Squares
In the following exercises, factor.
$49 a^{2} - 144$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the factors for given differences of squares

One App. One Place for Learning.

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Factor Differences of SquaresIn the following exercises, factor.49a2-144

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the factors for given differences of squares

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Logic and Functions

Discrete Mathematics

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Factor Differences of Squares
In the following exercises, factor.
$49 a^{2} - 144$