SOLUTION: (a+5b-4)^3

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Question 763361: (a+5b-4)^3
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
(a+5b-4)^3=
(a+5b-4)(a+5b-4)(a+5b-4)=
(a+5b-4)[a(a+5b-4)+5b(a+5b-4)-4(a+5b-4)]=

(a+5b-4)[a^2+5ab-4a+5ab+25b^2-20b-4a-20b+16]=

(a+5b-4)[a^2+10ab+25b^2-8a-40b+16]=
a[a^2+10ab+25b^2-8a-40b+16]+
5b[a^2+10ab+25b^2-8a-40b+16]-
4[a^2+10ab+25b^2-8a-40b+16]=
a^3+15a^2b-12a^2+75ab^2-120ab+48a+125b^3-300b^2+240b-64