Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Factorize:
$2x^3y^2- 4x^2y^3+ 8xy^4$
✓
Answer
The greatest common factor of the terms
$2 x^3 y^2,-4 x^2 y^3$ and $8 x y^4$ of the expression $2 x^3 y^2-4 x^2 y^3+8 x y^4 y^{64}$ is $2 x y^2$
Now,
$2 x^3 y^2=2 x y^2 \cdot x^2-4 x^2 y^3=2 x y^2 \cdot-2 x y 8 x y^4=2 x y^2 \cdot 4 y^2$
Hence, the expression $2 x^3 y^2-4 x^2 y^3+8 x y^4$ can be factorised as $2 x y^2\left(x^2-2 x y+4 y^2\right)$
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