Exercise ID124

Algebra → Exponents → Powers
[Level: ] [Number of helps: 1] [Number of pictures: 0] [Number of steps: 8] [Number of characters: 0]

Evaluate the following expression:

an-a-nan+a-n+2

an-a-nan+a-n+2 =an-1anan+1an+2 =an·an-1anan·an+1+2anan =a2n-1ana2n+2an+1an =ana2n-1ana2n+2an+1 =a2n-1a2n+2an+1 =an-1an+1an+12 =an-1an+1
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an-a-nan+a-n+2=an-1an+1

a-n=1an ; ab-n= ban

a2-b2=a-ba+b

a+b2=a2+2ab+b2

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