Example

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

Question

$$\frac{5x+10}{x^{2}+x-2}$$

Answer

5/(x-1)

Solution


Factor out the common term \(5\).
\[\frac{5(x+2)}{{x}^{2}+x-2}\]
Factor \({x}^{2}+x-2\).
\[\frac{5(x+2)}{(x-1)(x+2)}\]
Cancel \(x+2\).
\[\frac{5}{x-1}\]
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