What is expand (16(3x^2+4))/((4-x^2)^3) ?

The solution to expand (16(3x^2+4))/((4-x^2)^3) is (48x^2+64)/(64-48x^2+12x^4-x^6)

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expand (16(3x^2+4))/((4-x^2)^3)

expand

\frac{16 ( 3 x ^{2} + 4 )}{( 4 - x ^{2} ) ^{3}}

\frac{48 x ^{2} + 64}{64 - 48 x ^{2} + 12 x ^{4} - x ^{6}}

Solution steps

\frac{16 ( 3 x ^{2} + 4 )}{( 4 - x ^{2} ) ^{3}}

(4 - x^{2})^{3} = 64 - 48 x^{2} + 12 x^{4} - x^{6}

= \frac{16 ( 3 x ^{2} + 4 )}{64 - 48 x ^{2} + 12 x ^{4} - x ^{6}}

Expand

16 (3 x^{2} + 4) : 48 x^{2} + 64

= \frac{48 x ^{2} + 64}{64 - 48 x ^{2} + 12 x ^{4} - x ^{6}}

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

cos (x) (1 + tan (2) (x))

2 (\frac{5}{e ^{36}} + \frac{5}{e ^{4}} + \frac{5}{e ^{16}})

\frac{3}{13} \cdot (7 - 3) + \frac{4}{13} \cdot (0.25 \cdot 3)

What is expand (16(3x^2+4))/((4-x^2)^3) ?
The solution to expand (16(3x^2+4))/((4-x^2)^3) is (48x^2+64)/(64-48x^2+12x^4-x^6)