Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Expand the expression by using algebric identities |
Grade: 9-a Lesson: S3-L3 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
Expand the expression: |
|
2 |
Hint |
By using algebraic |
\$ (a-b)^3 = a^3-b^3-3ab(a-b)\$ |
3 |
Step |
After using algebraic |
\$ (5x)^3 - (1/(5x))^3 - 3 (\cancel(5x))^1(1/\cancel(5x)^1)(5x - 1/(5x)) \$ |
4 |
Step |
After cancellation ,we get |
\$ 125x^3 - 1/(125x^3) - 3 (5x - 1/(5x)) \$ |
5 |
Step |
After simplification we get |
\$ 125x^3 + 1/(125x^3) - 15x + 3/(5x) \$ |
6 |
Step |
Answer |
A |
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