What is expand (7x^2+2x-1)/(2(x+1)^2(x^2-2)) ?

The solution to expand (7x^2+2x-1)/(2(x+1)^2(x^2-2)) is (7x^2+2x-1)/(2x^4-2x^2+4x^3-8x-4)

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expand (7x^2+2x-1)/(2(x+1)^2(x^2-2))

expand

\frac{7 x ^{2} + 2 x - 1}{2 ( x + 1 ) ^{2} ( x ^{2} - 2 )}

\frac{7 x ^{2} + 2 x - 1}{2 x ^{4} - 2 x ^{2} + 4 x ^{3} - 8 x - 4}

Solution steps

\frac{7 x ^{2} + 2 x - 1}{2 ( x + 1 ) ^{2} ( x ^{2} - 2 )}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{7 x ^{2} + 2 x - 1}{2 ( x ^{2} + 2 x + 1 ) ( x ^{2} - 2 )}

Expand

2 (x^{2} + 2 x + 1) (x^{2} - 2) : 2 x^{4} - 2 x^{2} + 4 x^{3} - 8 x - 4

= \frac{7 x ^{2} + 2 x - 1}{2 x ^{4} - 2 x ^{2} + 4 x ^{3} - 8 x - 4}

(3 x - y)^{2}

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

\frac{9 ( n + 1 )}{n}

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

0.75 (x + \frac{1}{x} - 2)

What is expand (7x^2+2x-1)/(2(x+1)^2(x^2-2)) ?
The solution to expand (7x^2+2x-1)/(2(x+1)^2(x^2-2)) is (7x^2+2x-1)/(2x^4-2x^2+4x^3-8x-4)