Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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^3 - b^3 = (a-b)(a^2+ab+b^2) \$ |
3 |
Step |
by simplifying |
\$ ((4x+5y)-(4x-5y))((4x+5y)^2+(4x+5y)(4x-5y)+(4x-5y)^2)\$ |
4 |
Step |
After simplification we get |
\$ (\cancel4x+5y-\cancel4x+5y)(16x^2+25y^2+\cancel40xy + 16x^2-\cancel20xy+\cancel20xy+25y^2 + 16x^2+25y^2-\cancel40xy) \$ |
5 |
Step |
After cancellation we get |
\$ (10y)(16x^2+25y^2 + 16x^2+25y^2 + 16x^2+25y^2) \$ |
6 |
Step |
After simplification we get |
\$ (10y)(48x^2+125y^2) \$ |
7 |
Step |
After multiplication we get |
\$ 480x^2y+1250y^3 \$ |
8 |
Answer |
D |
|
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