What is expand ((x^2+x-125)(x-5))/((x+4)(x^2-9)) ?

The solution to expand ((x^2+x-125)(x-5))/((x+4)(x^2-9)) is (x^3-4x^2-130x+625)/(x^3-9x+4x^2-36)

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expand ((x^2+x-125)(x-5))/((x+4)(x^2-9))

expand

\frac{( x ^{2} + x - 125 ) ( x - 5 )}{( x + 4 ) ( x ^{2} - 9 )}

\frac{x ^{3} - 4 x ^{2} - 130 x + 625}{x ^{3} - 9 x + 4 x ^{2} - 36}

Solution steps

\frac{( x ^{2} + x - 125 ) ( x - 5 )}{( x + 4 ) ( x ^{2} - 9 )}

Expand

(x + 4) (x^{2} - 9) : x^{3} - 9 x + 4 x^{2} - 36

= \frac{( x ^{2} + x - 125 ) ( x - 5 )}{x ^{3} - 9 x + 4 x ^{2} - 36}

Expand

(x^{2} + x - 125) (x - 5) : x^{3} - 4 x^{2} - 130 x + 625

= \frac{x ^{3} - 4 x ^{2} - 130 x + 625}{x ^{3} - 9 x + 4 x ^{2} - 36}

- \frac{d}{d x} (\frac{x - a}{( x - a ) ^{2} + b ^{2}})

\frac{1}{( x - 2 i ) ^{2}} + \frac{1}{( x + 2 i ) ^{2}}

x y (\frac{40 x ^{2} y + 15 x ^{2} + 12 y - 10}{60} + 1)

\frac{( x ^{3} + 2 a ) ^{6}}{64 x ^{6}}

(a - j) (a + j)

What is expand ((x^2+x-125)(x-5))/((x+4)(x^2-9)) ?
The solution to expand ((x^2+x-125)(x-5))/((x+4)(x^2-9)) is (x^3-4x^2-130x+625)/(x^3-9x+4x^2-36)