SaiBook.us Algebra

Home Course Section

Register Enroll

Step-2

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: \$ (2x - 1/(2x))^2 \$
2	Hint	By using algebraic	\$ (a-b)^2 = a^2+b^2-2ab\$
3	Step	After using algebraic	\$ (2x)^2 + (1/(2x))^2 - 2 (\cancel(2x))^1(1/\cancel(2x)^1) \$
4	Step	After simplification	\$ (4x^2) + (1/(4x^2)) - 2\$
5		Answer	A

Step

Type

Explanation

Answer

Problem

Expand the expression:
\$ (2x - 1/(2x))^2 \$

Hint

By using algebraic

\$ (a-b)^2 = a^2+b^2-2ab\$

Step

After using algebraic

\$ (2x)^2 + (1/(2x))^2 - 2 (\cancel(2x))^1(1/\cancel(2x)^1) \$

Step

After simplification

\$ (4x^2) + (1/(4x^2)) - 2\$

Answer