Question 11 Mark
Factorise the expression $2 a^3-3 a^2 b+5 a b^2-a b$.
Answer
View full question & answer→We have, $2 a^3-3 a^2 b+5 a b^2-a b$
In this expression, only variable $a$ is common.
$
\begin{aligned}
\Rightarrow 2 \times a & \times a \times a-3 \times a \times a \times b+5 \times a \times b \times b-a \times b \\
& =a(2 \times a \times a-3 \times a \times b+5 \times b \times b-b) \\
& =a\left(2 a^2-3 a b+5 b^2-b\right)
\end{aligned}
$
In this expression, only variable $a$ is common.
$
\begin{aligned}
\Rightarrow 2 \times a & \times a \times a-3 \times a \times a \times b+5 \times a \times b \times b-a \times b \\
& =a(2 \times a \times a-3 \times a \times b+5 \times b \times b-b) \\
& =a\left(2 a^2-3 a b+5 b^2-b\right)
\end{aligned}
$