What is expand (3x^2+1)/((x+2)^3) ?

The solution to expand (3x^2+1)/((x+2)^3) is (3x^2+1)/(x^3+6x^2+12x+8)

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expand (3x^2+1)/((x+2)^3)

expand

\frac{3 x ^{2} + 1}{( x + 2 ) ^{3}}

\frac{3 x ^{2} + 1}{x ^{3} + 6 x ^{2} + 12 x + 8}

Solution steps

\frac{3 x ^{2} + 1}{( x + 2 ) ^{3}}

(x + 2)^{3} = x^{3} + 6 x^{2} + 12 x + 8

= \frac{3 x ^{2} + 1}{x ^{3} + 6 x ^{2} + 12 x + 8}

- \frac{6 ( u ^{2} - 2 )}{( u ^{2} + 2 ) ^{2}}

4 (\frac{1}{2} (x - y))^{2} + 2 (x + y)^{2}

sin (x) ln (x) (2 x - 1)

\frac{3}{( x - 3 ) ( x + 3 )}

\frac{( 2 x + 3 )}{( x ^{2} + x + 1 ) ^{2} ( x - 1 ) ^{3} ( x + 1 ) ^{2}}

What is expand (3x^2+1)/((x+2)^3) ?
The solution to expand (3x^2+1)/((x+2)^3) is (3x^2+1)/(x^3+6x^2+12x+8)