1.

Simplify 2^n+3- 2*2^n​

Answer»

Step-by-step EXPLANATION:

we know,

2n−1=2n2...............(1)

2n+1=2∗2n........................(2)

Given,

(2n+2n−1)(2n+1−2n)

=(2n+2n2)(2∗2n−2n)

LET us consider , 2n=x,

our equation reduces to,

=(x+x2)(2x−x)

=3x2(x)

=32

(2n+2n−1)(2n+1−2n)=32

Hence Proved



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