What is expand (20x^2(40x-759))/((20x-253)^2) ?

The solution to expand (20x^2(40x-759))/((20x-253)^2) is (800x^3-15180x^2)/(400x^2-10120x+64009)

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expand (20x^2(40x-759))/((20x-253)^2)

expand

\frac{20 x ^{2} ( 40 x - 759 )}{( 20 x - 253 ) ^{2}}

\frac{800 x ^{3} - 15180 x ^{2}}{400 x ^{2} - 10120 x + 64009}

Solution steps

\frac{20 x ^{2} ( 40 x - 759 )}{( 20 x - 253 ) ^{2}}

(20 x - 253)^{2} = 400 x^{2} - 10120 x + 64009

= \frac{20 x ^{2} ( 40 x - 759 )}{400 x ^{2} - 10120 x + 64009}

Expand

20 x^{2} (40 x - 759) : 800 x^{3} - 15180 x^{2}

= \frac{800 x ^{3} - 15180 x ^{2}}{400 x ^{2} - 10120 x + 64009}

\frac{x - 5}{( x + 1 ) ( x - 3 )}

- 2 (3 + 22)

(e^{x} + 8) (7 e^{x} - 6)

(sec (x) - csc (x) - cot (x)) cos (x)

\frac{a ( 1 - r ^{n} )}{1 - r}

What is expand (20x^2(40x-759))/((20x-253)^2) ?
The solution to expand (20x^2(40x-759))/((20x-253)^2) is (800x^3-15180x^2)/(400x^2-10120x+64009)