Lesson Example Discussion Quiz: Class Homework |
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: |
|
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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