What is expand (sqrt(ax)-a)/((x+1)(x-a)) ?

The solution to expand (sqrt(ax)-a)/((x+1)(x-a)) is (sqrt(ax)-a)/(x^2-ax+x-a)

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expand (sqrt(ax)-a)/((x+1)(x-a))

expand

\frac{a x - a}{( x + 1 ) ( x - a )}

\frac{a x - a}{x ^{2} - a x + x - a}

Solution steps

\frac{a x - a}{( x + 1 ) ( x - a )}

Expand

(x + 1) (x - a) : x^{2} - a x + x - a

= \frac{a x - a}{x ^{2} - a x + x - a}

\frac{x ^{3} + ( a + 1 ) \cdot x ^{2} + x}{x + a}

\frac{4 x ^{2} + 2 x + 8}{x ( x ^{2} + 2 ) ^{2}}

\frac{a ( x + 6 )}{( x - b ) ( x - c )}

y (x^{2} + y^{2} - 1) d x + x (x^{2} + y^{2} + 1)

What is expand (sqrt(ax)-a)/((x+1)(x-a)) ?
The solution to expand (sqrt(ax)-a)/((x+1)(x-a)) is (sqrt(ax)-a)/(x^2-ax+x-a)