What is expand (5(3-x^2))/((x^2+3)^2) ?

The solution to expand (5(3-x^2))/((x^2+3)^2) is (15-5x^2)/(x^4+6x^2+9)

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expand (5(3-x^2))/((x^2+3)^2)

expand

\frac{5 ( 3 - x ^{2} )}{( x ^{2} + 3 ) ^{2}}

\frac{15 - 5 x ^{2}}{x ^{4} + 6 x ^{2} + 9}

Solution steps

\frac{5 ( 3 - x ^{2} )}{( x ^{2} + 3 ) ^{2}}

(x^{2} + 3)^{2} = x^{4} + 6 x^{2} + 9

= \frac{5 ( - x ^{2} + 3 )}{x ^{4} + 6 x ^{2} + 9}

Expand

5 (3 - x^{2}) : 15 - 5 x^{2}

= \frac{15 - 5 x ^{2}}{x ^{4} + 6 x ^{2} + 9}

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What is expand (5(3-x^2))/((x^2+3)^2) ?
The solution to expand (5(3-x^2))/((x^2+3)^2) is (15-5x^2)/(x^4+6x^2+9)