SOLUTION: Please Help Me Solve This Problem: Multiply: (x-4)^3 Thank you for your time and help !

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Question 22968: Please Help Me Solve This Problem:
Multiply:
(x-4)^3
Thank you for your time and help !

Answer by deepikabansal(5) About Me  (Show Source):
You can put this solution on YOUR website!
(x-4)^3 means (x-4)raise to power 3 that is (x-4)is multiplied 3 times to itself
(x-4)*(x-4)*(x-4)
do it step by step
take first two terms in first step
that is (x-4)*(x-4)=x*(x-4)-4*(x-4)= x^2-4x-4x+16 = x^2-8x+16
now this is the solution for firsr two terms
take this solution and third term
(x^2-8x+16)*(x-4)= x^2(x-4)-8x*(x-4)+16(x-4)
= x^3-4x^2-8x^2+32x+16x-64
= x^3-12x^2+48x-64