Question

Divide as directed:

$26xy(x+5)(y-4)÷13x(y-4)$

Answer 1

Here,

$$\begin{gathered} =\frac{26xy(x+5)(y-4)}{13x(y-4)} \\ =\frac{26}{13}\times \frac{x(y-4)}{x(y-4)}\times y(x+5) \\ =2\times 1\times y(x+5) \\ =\mathbf{2}\mathit{y}\mathbf{(}\mathit{x}\mathbf{+}\mathbf{}\mathbf{5}\mathbf{)} \end{gathered}$$

Thus,

$26xy(x+5)(y-4)÷13x(y-4)$ $\mathbf{=}\mathbf{2}\mathit{y}\mathbf{(}\mathit{x}\mathbf{+}\mathbf{5}\mathbf{)}$