Exercise ID125

Algebra → Exponents → Powers
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Evaluate the following expression:

x-1+y-1yx-1+xy-1-1+x-1+y-12-1-x-1-y-1x-1·y-1

x-1+y-1yx-1+xy-1-1+x-1+y-12-1-x-1-y-1x-1·y-1 =yx-1+xy-1x-1+y-1+2x-1+y-1-1x-1y1xy =yx+xy1x+1y+21x+1y-y-xxy1xy =y2+x2xyy+xxy+2y+xxy-xyy-xxy =xyx2+y2xyx+y+2xyx+y+x-y =xyx2+y2+2xy2+xyx+yx-yxyx+y =xyx2+y2+2xy+x+yx-yxyx+y =x+y2+x+yx-yx+y =x+yx+y+x-yx+y =2x
x-1+y-1yx-1+xy-1-1+x-1+y-12-1-x-1-y-1x-1·y-1=2x

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

a+b2=a2+2ab+b2

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