Simplify (1-x)^3+2y^3-3(1-x)y^2=0 to -(x - 2 y - 1) (x

Averie Ray

Averie Ray

Answered question

2022-04-22

Simplify (1x)3+2y33(1x)y2=0 to (x2y1)(x+y1)2=0

Answer & Explanation

impire7vw

impire7vw

Beginner2022-04-23Added 19 answers

Use a3b3=(ab)(a2+ab+b2) and
a2b2=(ab)(a+b)
(1x)3+2y33(1x)y2=(1x)3y3+3y33(1x)y2 =(1x)3y3+3y2(y1+x) =(1xy)[(1x)2+(1x)y+y2]3y2(1xy) =(1xy)[(1x)2+(1x)y2y2] =(1xy)[(1x)2y2+(1x)yy2] =(1xy)[(1xy)(1x+y)+y{(1x)y}] =(1xy)2(1x+2y)

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