What is expand (30(x^2+3))/((x-3)^3(x+3)^3) ?

The solution to expand (30(x^2+3))/((x-3)^3(x+3)^3) is (30x^2+90)/(x^6-27x^4+243x^2-729)

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expand (30(x^2+3))/((x-3)^3(x+3)^3)

expand

\frac{30 ( x ^{2} + 3 )}{( x - 3 ) ^{3} ( x + 3 ) ^{3}}

\frac{30 x ^{2} + 90}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

Solution steps

\frac{30 ( x ^{2} + 3 )}{( x - 3 ) ^{3} ( x + 3 ) ^{3}}

(x - 3)^{3} = x^{3} - 9 x^{2} + 27 x - 27

= \frac{30 ( x ^{2} + 3 )}{( x ^{3} - 9 x ^{2} + 27 x - 27 ) ( x + 3 ) ^{3}}

(x + 3)^{3} = x^{3} + 9 x^{2} + 27 x + 27

= \frac{30 ( x ^{2} + 3 )}{( x ^{3} - 9 x ^{2} + 27 x - 27 ) ( x ^{3} + 9 x ^{2} + 27 x + 27 )}

Expand

(x^{3} - 9 x^{2} + 27 x - 27) (x^{3} + 9 x^{2} + 27 x + 27) : x^{6} - 27 x^{4} + 243 x^{2} - 729

= \frac{30 ( x ^{2} + 3 )}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

Expand

30 (x^{2} + 3) : 30 x^{2} + 90

= \frac{30 x ^{2} + 90}{x ^{6} - 27 x ^{4} + 243 x ^{2} - 729}

(x^{2} - 3 x - 18) (x - 4 - 2 i) (x - 4 + 2 i)

(- 16, - 8) y (11, 19)

\frac{L ^{2} x ^{2} - 3 L x ^{3} + 2 x ^{4}}{L ^{3}}

\frac{( a - b ) ^{2}}{( a + b )}

What is expand (30(x^2+3))/((x-3)^3(x+3)^3) ?
The solution to expand (30(x^2+3))/((x-3)^3(x+3)^3) is (30x^2+90)/(x^6-27x^4+243x^2-729)