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

The solution to expand (3x+3)/((x^2+2x+2)^2) is (3x+3)/(x^4+4x^3+8x^2+8x+4)

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

expand

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

\frac{3 x + 3}{x ^{4} + 4 x ^{3} + 8 x ^{2} + 8 x + 4}

Solution steps

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

(x^{2} + 2 x + 2)^{2} = x^{4} + 4 x^{3} + 8 x^{2} + 8 x + 4

= \frac{3 x + 3}{x ^{4} + 4 x ^{3} + 8 x ^{2} + 8 x + 4}

\frac{( 3 x + 1 ) y}{x}

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

\frac{i ( - 1 ) ^{n}}{2 nπ} + \frac{( - 1 ) ^{n} - 1}{2 n ^{2} π ^{2}}

1537.6 \cdot ((s + 0.6) \cdot (s + 0.8))

\frac{( S ^{3} - 3 S ^{2} + 6 S - 4 )}{( S ^{2} - 2 S + 2 ) ^{2}}

What is expand (3x+3)/((x^2+2x+2)^2) ?
The solution to expand (3x+3)/((x^2+2x+2)^2) is (3x+3)/(x^4+4x^3+8x^2+8x+4)