What is expand (7x^2+x+1)/((x-1)(2x^2+5x+2)) ?

The solution to expand (7x^2+x+1)/((x-1)(2x^2+5x+2)) is (7x^2+x+1)/(2x^3+3x^2-3x-2)

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expand (7x^2+x+1)/((x-1)(2x^2+5x+2))

expand

\frac{7 x ^{2} + x + 1}{( x - 1 ) ( 2 x ^{2} + 5 x + 2 )}

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

Solution steps

\frac{7 x ^{2} + x + 1}{( x - 1 ) ( 2 x ^{2} + 5 x + 2 )}

Expand

(x - 1) (2 x^{2} + 5 x + 2) : 2 x^{3} + 3 x^{2} - 3 x - 2

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

\frac{( x - 4 ) ( x + 2 )}{( x - 1 ) ( x - 3 )}

sin (2 x) δ (x - 1)

2 (2 + 2 i) \frac{d}{d x} (2 + 2 i)

\frac{k ( k + 2 ) + 1}{( k + 1 ) ( k + 2 )}

\frac{( p - q ) ^{3}}{5}

What is expand (7x^2+x+1)/((x-1)(2x^2+5x+2)) ?
The solution to expand (7x^2+x+1)/((x-1)(2x^2+5x+2)) is (7x^2+x+1)/(2x^3+3x^2-3x-2)