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:
\$ (5x - 1/(5x))^3 \$

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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