Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize:
$a x^2 y+b x y^2+c x y z$
✓
Answer
The greatest common factor of the term
$a x^2 y+b x y^2$ and cxyz of the expression
$a x^2 y+b x y^2+c x y z \text { is } x y$
Also, we can write $a x^2 y=(x y . a x), b x y^2=(x y . b y), c x y z=(x y . c z)$
Therefore, $a x^2 y+b x y^2+c x y z=(x y \cdot a x)+(x y . b y)+(x y . c z)$
$=x y(a x+b y+c z)$
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