(x - y)^{3} - (27 - y)^{3}

djeljenike 2020-11-30 Answered
(xy)3(27y)3
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Expert Answer

SkladanH
Answered 2020-12-01 Author has 80 answers

Use the difference of two cubes:
a3b3=(ab)(a2+ab+b2)
Substitute a=x−y and b=27−y:
=[(xy)(27y)][(xy)2+(xy)(27y)+(27y)2]=[xy27+y][(x22xy+y2)+,(27x27yxy+y,2)+(72954y+y2)]=(x27)(x23xy+3y2+27x81y+729)

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