Question

Simplify using identities :(2x-1/2x)^2

Answer 1

Step-by-step explanation:

Given:-

An expression is (2x-1/2x)^2

To find:-

Simplify using identities :(2x-1/2x)^2

Solution:-

Given expression is (2x-1/2x)²

It is in the form of (a-b)²

Here, a=2x

b=1/2x

We know that , (a-b)²=a²-2ab+b²

(2x-1/2x)²=(2x)²-2(2x)(1/2x)+(1/2x)²

=>(2x-1/2x)²=4x²-4x/2x+(1/4x²)

=>(2x-1/2x)²=4x²-2+(1/4x²)

(2x-1/2x)²=4x²+(1/4x²)-2

Answer:-

(2x-1/2x)²=4x²+(1/4x²)-2

Used formula:-

• (a-b)²=a²-2ab+b²

Answer 2

Step-by-step explanation:

Given:-

An expression is (2x-1/2x)^2

To find:-

Simplify using identities :(2x-1/2x)^2

Solution:-

Given expression is (2x-1/2x)²

It is in the form of (a-b)²

Here, a=2x

b=1/2x

We know that , (a-b)²=a²-2ab+b²

(2x-1/2x)²=(2x)²-2(2x)(1/2x)+(1/2x)²

=>(2x-1/2x)²=4x²-4x/2x+(1/4x²)

=>(2x-1/2x)²=4x²-2+(1/4x²)

(2x-1/2x)²=4x²+(1/4x²)-2

Answer:-

(2x-1/2x)²=4x²+(1/4x²)-2

Used formula:-

(a-b)²=a²-2ab+b²