Step-3

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:
\$ (4x + 1/(4x))^3 \$

2

Hint

By using algebraic

\$ (a+b)^3 = a^3+b^3+3ab(a+b)\$

3

Step

After using algebraic

\$ (4x)^3 + (1/(4x))^3 + 3 (\cancel(4x))^1(1/\cancel(4x)^1)(4x + 1/(4x)) \$

4

Step

After cancellation

\$ 64x^3 + 1/(64x^3) + 3 (4x + 1/(4x)) \$

5

Step

After simplification

\$ 64x^3 + 1/(64x^3) + 12x + 3/(4x) \$

6

Answer

C


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