Asked by rayan siddiqui

factorize the following using.
formula #1 : (x+y)^3 = x^3+3x^2y+3xy^2+y^2
formula #2 : (x-y)^3 = x^3-3x^2y+3xy^2-y^2

Problem #1 : 8a^3+60a^2+150a+125
Problem #2 : 27x^3-27x^2y+9xy^2-y^3

please tell me how to solve them

Answers

Answered by rayan siddiqui
actually in the end of both formulas its y^3 sorry....
Answered by Reiny
What if I rewrote your first problem this way

8a^3+60a^2+150a+125
= (2a)^3 + 3(2a)^2 (5) + 3(2a)(5^2) + 5^3 ?

can you see the pattern?

do the same with the second problem,

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