Cosmas wrote:

Can someone please help factorize x^3 + 2x^2 = 3x.

Is it not (x+3)(x+1)(x-1)

I don't seem to get why its x(x + 3)(x – 1)

Do it step by step

x^3 + 2x^2 = 3x

transfer 3x to the other side we have

x^3 + 2x^2 - 3x = 0

we have a common factor of x among the three, as such we have

x (x^2 + 2x - 3) = 0

Now we can still factor x + 2x - 3 into

(x + 3) (x - 1)

if you are having a hard time to believe me, let's use FOIL:

x*x + 3x - 3 - 1*x = x^2 + 2x - 3

Got it?

That's why we have:

x (x + 3) (x - 1)

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