Is it possible to factor #y=3x^3+30x^2+75x #? If so, what are the factors?

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Answer 1 · 2018-05-30T02:12:31

#y=3x(x+5)^2#

#y=3x^3+30x^2+75x#

We can see that #3x# is a factor.

#:. y=3x(x^2+10x+25)#

Which we can write as #3x(x^2+2x xx5 +5^2)#

Now remember: #(a+b)^2 = a^2+2ab+b^2#

Hence. #(x^2+10x+25) = (x+5)^2#

#:. y=3x(x+5)^2#