What is expand (10x^2(20x-333))/((10x-111)^2) ?

The solution to expand (10x^2(20x-333))/((10x-111)^2) is (200x^3-3330x^2)/(100x^2-2220x+12321)

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expand (10x^2(20x-333))/((10x-111)^2)

expand

\frac{10 x ^{2} ( 20 x - 333 )}{( 10 x - 111 ) ^{2}}

\frac{200 x ^{3} - 3330 x ^{2}}{100 x ^{2} - 2220 x + 12321}

Solution steps

\frac{10 x ^{2} ( 20 x - 333 )}{( 10 x - 111 ) ^{2}}

(10 x - 111)^{2} = 100 x^{2} - 2220 x + 12321

= \frac{10 x ^{2} ( 20 x - 333 )}{100 x ^{2} - 2220 x + 12321}

Expand

10 x^{2} (20 x - 333) : 200 x^{3} - 3330 x^{2}

= \frac{200 x ^{3} - 3330 x ^{2}}{100 x ^{2} - 2220 x + 12321}

(cot (x) - 1)^{2}

\frac{x ( x - 5 )}{x - 2}

\frac{5 s}{( s - 2 ) ^{2}}

x (x^{3} e^{3 x} + 4)

\frac{2 s + 3}{( s + 1 ) ( s - 1 ) ( 2 s + 1 ) ( s + 2 )}

What is expand (10x^2(20x-333))/((10x-111)^2) ?
The solution to expand (10x^2(20x-333))/((10x-111)^2) is (200x^3-3330x^2)/(100x^2-2220x+12321)