What is expand (4x^3-21x^2-10x+25)/(x^2(x-5)^2) ?

The solution to expand (4x^3-21x^2-10x+25)/(x^2(x-5)^2) is (4x^3-21x^2-10x+25)/(x^4-10x^3+25x^2)

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expand (4x^3-21x^2-10x+25)/(x^2(x-5)^2)

expand

\frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{2} ( x - 5 ) ^{2}}

\frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{4} - 10 x ^{3} + 25 x ^{2}}

Solution steps

\frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{2} ( x - 5 ) ^{2}}

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{2} ( x ^{2} - 10 x + 25 )}

Expand

x^{2} (x^{2} - 10 x + 25) : x^{4} - 10 x^{3} + 25 x^{2}

= \frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{4} - 10 x ^{3} + 25 x ^{2}}

\frac{6 z}{( z - 3 ) ( z + 1 )}

\frac{1}{( x - 5 ) ^{2}}

(5 x - 2) (5 x + 2)

(x + \frac{3}{2})^{2}

\frac{d ^{2}}{d x ^{2}} ((y) (x^{2} + y^{2} - 25))

What is expand (4x^3-21x^2-10x+25)/(x^2(x-5)^2) ?
The solution to expand (4x^3-21x^2-10x+25)/(x^2(x-5)^2) is (4x^3-21x^2-10x+25)/(x^4-10x^3+25x^2)