What is expand ((w^2-2w))/((w^2+3w-10)) ?

The solution to expand ((w^2-2w))/((w^2+3w-10)) is w/(w+5)

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expand ((w^2-2w))/((w^2+3w-10))

expand

\frac{( w ^{2} - 2 w )}{( w ^{2} + 3 w - 10 )}

\frac{w}{w + 5}

Solution steps

\frac{w ^{2} - 2 w}{w ^{2} + 3 w - 10}

Factor out common term

w : w (w - 2)

= \frac{w ( w - 2 )}{w ^{2} + 3 w - 10}

Factor

w^{2} + 3 w - 10 : (w - 2) (w + 5)

= \frac{w ( w - 2 )}{( w - 2 ) ( w + 5 )}

Cancel the common factor:

w - 2

= \frac{w}{w + 5}

\frac{v}{( u + v ) ^{2}}

\frac{5 ( 5 + 5 )}{8 π ^{2}}

\frac{3 ( - x ^{2} - 16 )}{( x ^{2} - 16 ) ^{2}}

\frac{d x}{( x + 1 ) ( x + 2 )}

A (36 e^{6 t - 3 e^{t}} - 39 e^{7 t - 3 e^{t}} + 9 e^{8 t - 3 e^{t}})

What is expand ((w^2-2w))/((w^2+3w-10)) ?
The solution to expand ((w^2-2w))/((w^2+3w-10)) is w/(w+5)