Factorize the following:

Question:

Factorize the following:
20x3 − 40x2 + 80x

Solution:

The greatest common factor of the terms $20 x^{3},-40 x^{2}$ and $80 x$ of the expression $20 x^{3}-40 x^{2}+80 x$ is $20 x$

Now,

$20 x^{3}=20 x \times x^{2}$

$-40 x^{2}=20 x \times-2 x$

and

$80 x=20 x \times 4$

Hence, the expression 20x3 - 40x2 + 80x​ ​can be factorised as 20x(x2 - 2x + 4)​.

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