How do you factor $y= 5x^3 - 20x^2 +20x$ ?

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Answer 1 · 2018-03-24T06:30:59

By taking x as common and then applying middle term splitting

First, take $x$ and $5$ as common:
$5x^3-20x^2+20x$
$=5x(x^2-4x+4)$

Then by middle term splitting:
$=5x(x^2-4x+4)$
$=5x(x^2-2x-2x+4)$
$=5x(x(x-2)-2(x-2))$
$=5x(x-2)^2$

How do you factor y= 5x^3 - 20x^2 +20x y= 5x^3 - 20x^2 +20x ?