What is expand (1250x+750)/((25x^2-30x+9)^2) ?

The solution to expand (1250x+750)/((25x^2-30x+9)^2) is (1250x+750)/(625x^4-1500x^3+1350x^2-540x+81)

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expand (1250x+750)/((25x^2-30x+9)^2)

expand

\frac{1250 x + 750}{( 25 x ^{2} - 30 x + 9 ) ^{2}}

\frac{1250 x + 750}{625 x ^{4} - 1500 x ^{3} + 1350 x ^{2} - 540 x + 81}

Solution steps

\frac{1250 x + 750}{( 25 x ^{2} - 30 x + 9 ) ^{2}}

(25 x^{2} - 30 x + 9)^{2} = 625 x^{4} - 1500 x^{3} + 1350 x^{2} - 540 x + 81

= \frac{1250 x + 750}{625 x ^{4} - 1500 x ^{3} + 1350 x ^{2} - 540 x + 81}

\frac{x ^{2} - 10 x - 41}{( x + 1 ) ( x + 4 ) ( x - 1 )}

π (16 x^{2} + 24 x + 9)

\frac{5 ( x - 1 ) ^{4} ( x ^{2} + x + 1 ) ^{4} ( x ^{3} + 2 )}{x ^{11}}

(- 1 + i)^{17}

(x - 2) (x + 1 - 2 i) (x + 1 + 2 i)

What is expand (1250x+750)/((25x^2-30x+9)^2) ?
The solution to expand (1250x+750)/((25x^2-30x+9)^2) is (1250x+750)/(625x^4-1500x^3+1350x^2-540x+81)