What is expand (3x^2(9-x^2))/((7-5x)(5x^2-6)) ?

The solution to expand (3x^2(9-x^2))/((7-5x)(5x^2-6)) is (27x^2-3x^4)/(35x^2-42-25x^3+30x)

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expand (3x^2(9-x^2))/((7-5x)(5x^2-6))

expand

\frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}

\frac{27 x ^{2} - 3 x ^{4}}{35 x ^{2} - 42 - 25 x ^{3} + 30 x}

Solution steps

\frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}

Expand

(7 - 5 x) (5 x^{2} - 6) : 35 x^{2} - 42 - 25 x^{3} + 30 x

= \frac{3 x ^{2} ( - x ^{2} + 9 )}{35 x ^{2} - 42 - 25 x ^{3} + 30 x}

Expand

3 x^{2} (9 - x^{2}) : 27 x^{2} - 3 x^{4}

= \frac{27 x ^{2} - 3 x ^{4}}{35 x ^{2} - 42 - 25 x ^{3} + 30 x}

\frac{x + A}{A ( 1 + x )}

2 (e^{- 3 x} - 3 e^{- 3 x} x)

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

(u - 4)^{4} u

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

What is expand (3x^2(9-x^2))/((7-5x)(5x^2-6)) ?
The solution to expand (3x^2(9-x^2))/((7-5x)(5x^2-6)) is (27x^2-3x^4)/(35x^2-42-25x^3+30x)