What is expand (8(4-x^2))/((4+x^2)^2) ?

The solution to expand (8(4-x^2))/((4+x^2)^2) is (32-8x^2)/(16+8x^2+x^4)

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expand (8(4-x^2))/((4+x^2)^2)

expand

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

\frac{32 - 8 x ^{2}}{16 + 8 x ^{2} + x ^{4}}

Solution steps

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

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

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

Expand

8 (4 - x^{2}) : 32 - 8 x^{2}

= \frac{32 - 8 x ^{2}}{16 + 8 x ^{2} + x ^{4}}

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(2 + 4) (3 - 3)

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What is expand (8(4-x^2))/((4+x^2)^2) ?
The solution to expand (8(4-x^2))/((4+x^2)^2) is (32-8x^2)/(16+8x^2+x^4)