Mathematics
sum/difference of perfect cubes

Question Description

I’m trying to learn for my Algebra class and I’m stuck. Can you help?

27q^3-125

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Final Answer

27q^3-125 

= (3q)^3 - 5^3

= (3q - 5)(9q^2 + 3q*5 + 25)

= (3q - 5)(9q^2 + 15q + 25)

HENCE

27q^3-125 = (3q - 5)(9q^2 + 15q + 25)

UIUC

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