What is expand (1+x^2)/(x^2(x-4)^2) ?

The solution to expand (1+x^2)/(x^2(x-4)^2) is (1+x^2)/(x^4-8x^3+16x^2)

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expand (1+x^2)/(x^2(x-4)^2)

expand

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

\frac{1 + x ^{2}}{x ^{4} - 8 x ^{3} + 16 x ^{2}}

Solution steps

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

(x - 4)^{2} = x^{2} - 8 x + 16

= \frac{1 + x ^{2}}{x ^{2} ( x ^{2} - 8 x + 16 )}

Expand

x^{2} (x^{2} - 8 x + 16) : x^{4} - 8 x^{3} + 16 x^{2}

= \frac{1 + x ^{2}}{x ^{4} - 8 x ^{3} + 16 x ^{2}}

(2 + x - 3)^{2}

(1 - h - 3)^{2}

10 (10 + x 30)

(3 - 4 i) (5 + 2 i)^{''}

\frac{d}{d t} ((w (t, x, y)) (x^{2} y - y^{2}))

What is expand (1+x^2)/(x^2(x-4)^2) ?
The solution to expand (1+x^2)/(x^2(x-4)^2) is (1+x^2)/(x^4-8x^3+16x^2)