what is the value of xcube+ycube+4xy given that x+y=8

factoring of polynomials
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(x+y)3=x3+3x2y+3xy2+y3=83=512.

x3+3x2y+3xy2+y3=x3+y3+3xy(x+y)=x3+y3+24xy, because x+y=8.

Therefore x3+y3​​​​​​​+24xy=512. However, it's not possible to calculate  x3+y3​​​​​​​+4xy.

⅙(x3+y3)+4xy=512/6=256/3.

by Top Rated User (1.2m points)

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