What is expand (x^4-12x^2)/((x^2-4)^2) ?

The solution to expand (x^4-12x^2)/((x^2-4)^2) is (x^4-12x^2)/(x^4-8x^2+16)

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expand (x^4-12x^2)/((x^2-4)^2)

expand

\frac{x ^{4} - 12 x ^{2}}{( x ^{2} - 4 ) ^{2}}

\frac{x ^{4} - 12 x ^{2}}{x ^{4} - 8 x ^{2} + 16}

Solution steps

\frac{x ^{4} - 12 x ^{2}}{( x ^{2} - 4 ) ^{2}}

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

= \frac{x ^{4} - 12 x ^{2}}{x ^{4} - 8 x ^{2} + 16}

\frac{n}{( n + 1 ) ( n + 2 ) ( n + 3 )}

f (2 x - 1)^{5} d x

(1 + ln (x)) d x + (1 + l m y) d y

\frac{40000}{( t + 2 ) ^{2}}

\frac{1}{( s + 5 ) ( s ^{2} + 4 )}

What is expand (x^4-12x^2)/((x^2-4)^2) ?
The solution to expand (x^4-12x^2)/((x^2-4)^2) is (x^4-12x^2)/(x^4-8x^2+16)