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

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

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

expand

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

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

Solution steps

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

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

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

(2 x^{2} + 1)^{2} = 4 x^{4} + 4 x^{2} + 1

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

Expand

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

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

\frac{s}{( s + 2 ) ^{2}}

I n (x 1 + x^{2})

A (- 3, - 1) y B (5, 2)

\frac{3 ^{n}}{( a + 3 ^{n + 1} ) ( a + 3 ^{n} )}

2 (y^{3} + 2) d x + 3 x y^{2} d y

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