Question 205557: Hi, Im trying to work this one out in steps to show all work..
Factor: 64y3 – 125z3
A) (4y – 5z)(16y2 – 20yz + 25z2)
B) (4y + 5z)(16y2 – 20yz + 25z2)
C) (4y – 5z)(16y2 + 20yz + 25z2)
D) (4y – 5z)(4y2 + 20yz + 5z2)
Thank you
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Remember that,,,a^3 -b^3 = (a-b)(a^2 +ab+b^2)
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64y^3 -125z^3
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4^3y^3 -5^3z^3
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(4y)^3 -(5Z)^3,,,,,or a=(4y),,,b= (5z)
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(4y-5z){ (4y)^2 + (4y)(5z) +(5z)^2 }
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(4y -5z)(16y^2 +20yz + 25 z^2)
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or answer (c)
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