Question

Simplify using suitable identity (2x-3/x+1) (2x+3/x+1)​

Answer 1

Answer:

Using the identity is (m+a)(m+b)=m

2

+m(a+b)+ab.

Given: (2x+3)(2x+5) we apply the above identity by taking

m=2x, a=3 , b=5.

We get, (2x+3)(2x+5)=(2x)

2

+(2x)(3+5)+(3×5)=4x

2

+(2x)(8)+15=4x

2

+16x+15

Hence, (2x+3)(2x+5)=4x

2

+16x+15.