Divide (-27 x^2 y )+(-3 x y). - Vidyadip

Question

Divide $\left(-27 x^2 y\right)+(-3 x y)$.

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Answer

Firstly, factorise both terms,
$
\text { } \begin{aligned}
-27 x^2 y & =-3 \times 3 \times 3 \times x \times x \times y \\
and \qquad -3 x y & =-3 \times x \times y \\
\therefore-27 x^2 y ÷ (-3 x y) & =\frac{-27 x^2 y}{-3 x y} \\
& =\frac{-3 \times 3 \times 3 \times x \times x \times y}{-3 \times x \times y}
=3 \times 3 \times x=9 x
\end{aligned}
$

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