Math, asked by sameerjain593, 7 months ago

2^n+2^n-1÷2^n+1-2^n=3/2 proof

Answers

Answered by nath12849
0

Answer:

How do I prove that (2n+2n−1)(2n+1−2n)=3/2?

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Hi,

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

Step-by-step explanation:

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Answered by Saratchandragarnayak
1

Hope this is helpful to U ✨

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