Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize:
$20 x^3-40 x^2+80 x$
✓
Answer
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,
$20 x^3=20 x \cdot x^2-40 x^2=20 x \cdot-2 x \text { and } 80 x=20 x \cdot 4$
Hence, the expression $20 x^3-40 x^2+80 x$ can be factorised as $20 x\left(x^2-2 x+4\right)$
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