What is expand-(4(3x^2-19x+75))/((x+5)(x-2)(x-9)) ?

The solution to expand-(4(3x^2-19x+75))/((x+5)(x-2)(x-9)) is -(12x^2-76x+300)/(x^3-6x^2-37x+90)

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expand-(4(3x^2-19x+75))/((x+5)(x-2)(x-9))

expand

- \frac{4 ( 3 x ^{2} - 19 x + 75 )}{( x + 5 ) ( x - 2 ) ( x - 9 )}

- \frac{12 x ^{2} - 76 x + 300}{x ^{3} - 6 x ^{2} - 37 x + 90}

Solution steps

- \frac{4 ( 3 x ^{2} - 19 x + 75 )}{( x + 5 ) ( x - 2 ) ( x - 9 )}

Expand

(x + 5) (x - 2) (x - 9) : x^{3} - 6 x^{2} - 37 x + 90

= - \frac{4 ( 3 x ^{2} - 19 x + 75 )}{x ^{3} - 6 x ^{2} - 37 x + 90}

Expand

4 (3 x^{2} - 19 x + 75) : 12 x^{2} - 76 x + 300

= - \frac{12 x ^{2} - 76 x + 300}{x ^{3} - 6 x ^{2} - 37 x + 90}

\frac{\partial}{\partial x} ((z) (5 x + 8 y)^{11})

\frac{6 x ^{2} - 2}{x ^{2} ( x + 1 ) ^{2} ( x - 1 ) ^{2}}

\frac{5}{( x ^{2} + 1 ) ( x ^{2} + 16 )}

1 - (a + b x) (c + d x)

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

What is expand-(4(3x^2-19x+75))/((x+5)(x-2)(x-9)) ?
The solution to expand-(4(3x^2-19x+75))/((x+5)(x-2)(x-9)) is -(12x^2-76x+300)/(x^3-6x^2-37x+90)