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

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

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

expand

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

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

Solution steps

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

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

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

Expand

2 (4 - x^{2}) : 8 - 2 x^{2}

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

x (x + 2)

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

sin (x) cos (x) (tan (x) + csc (x))

cos (y) d x + (2 x \cdot sin (y) - cos^{3} (y)) d y

(1, - 6) y (- 2, - 3)

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