Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{ x(-x+3y) }{ x+y } \times \frac{ y(x-2y) }{ x-y }$$

Answer

(x*y*(3*y-x)*(x-2*y))/((x+y)*(x-y))

Solution


Regroup terms.
\[\frac{x(3y-x)}{x+y}\times \frac{y(x-2y)}{x-y}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{x(3y-x)y(x-2y)}{(x+y)(x-y)}\]
Regroup terms.
\[\frac{xy(3y-x)(x-2y)}{(x+y)(x-y)}\]
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