Step-1

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

2

Formula:

By using algebraic

\$ a^4 - b^4 = (a+b)(a-b)(a^2 + b^2) \$

3

Step

by simplification

\$ (2x+3y+2x-3y)(2x+3y-(2x-3y))((2x+3y)^2 + (2x-3y)^2) \$

4

Step

After simplification we get

\$ (2x+\cancel3y+2x-\cancel3y)(\cancel2x+3y-\cancel2x+3y)(4x^2+9y^2+\cancel(12xy)+4x^2+9y^2-\cancel(12xy)) \$

5

Step

After cancellation we get

\$ (4x)(6y)(8x^2+18y^2) \$

6

Step

After multiplication we get

\$ (24xy)(8x^2+18y^2) \$

7

Step

After multiplication we get

\$ 192x^3y + 432xy^3 \$

8

Answer

A


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