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).