Question
Factorize:
$a^4 b-3 a^2 b^2-6 a b^3$
$a^4 b-3 a^2 b^2-6 a b^3$
✓
Answer
The greatest common factor of the term
$a^4 b-3 a^2 b^2$ and $6 a b^3$ of the expression
$a^4 b-3 a^2 b^2-6 a b^4$ is $a b$
Also, we can write $a^4 b=a b \cdot a^3, 3 a^2 b^2=a b .3 a b$ and $6 a b^3=6 b^2$
Therefore, $a^4 b-3 a^2 b^2-6 a b^3=a b \cdot a^3-a b \cdot 3 a b-6 b^2$
$=a b\left(a^3-3 a b-6 b^2\right)$
$a^4 b-3 a^2 b^2$ and $6 a b^3$ of the expression
$a^4 b-3 a^2 b^2-6 a b^4$ is $a b$
Also, we can write $a^4 b=a b \cdot a^3, 3 a^2 b^2=a b .3 a b$ and $6 a b^3=6 b^2$
Therefore, $a^4 b-3 a^2 b^2-6 a b^3=a b \cdot a^3-a b \cdot 3 a b-6 b^2$
$=a b\left(a^3-3 a b-6 b^2\right)$
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