Step-3

Title: Simplify the expression

Grade: 9-a Lesson: S2-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Simplify the expression:
\$(3x + 4y)^2 - (3x - 4y)^2 \$

2

Formula:

By using algebraic

\$ a^2 - b^2 = (a+b)(a-b) \$

3

Step

by simplifying

\$ (3x+4y+3x-4y)(3x+4y-(3x-4y)) \$

4

Step

After simplification we get

\$ (3x+\cancel4y+3x-\cancel4y)(\cancel3x+4y-\cancel3x+4y) \$

5

Step

After cancellation we get

\$ (6x)(8y) \$

6

Step

After multiplication we get

\$ 48xy \$

7

Answer

C


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