What is expand (3x^4-10x^3+2x^2-3x+5)/((x-1)(3x+1)) ?

The solution to expand (3x^4-10x^3+2x^2-3x+5)/((x-1)(3x+1)) is (3x^4-10x^3+2x^2-3x+5)/(3x^2-2x-1)

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expand (3x^4-10x^3+2x^2-3x+5)/((x-1)(3x+1))

expand

\frac{3 x ^{4} - 10 x ^{3} + 2 x ^{2} - 3 x + 5}{( x - 1 ) ( 3 x + 1 )}

\frac{3 x ^{4} - 10 x ^{3} + 2 x ^{2} - 3 x + 5}{3 x ^{2} - 2 x - 1}

Solution steps

\frac{3 x ^{4} - 10 x ^{3} + 2 x ^{2} - 3 x + 5}{( x - 1 ) ( 3 x + 1 )}

Expand

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

= \frac{3 x ^{4} - 10 x ^{3} + 2 x ^{2} - 3 x + 5}{3 x ^{2} - 2 x - 1}

\frac{2 ( x ^{2} - 4 )}{x ^{2} - 9}

(4 tan (x) + 3)^{2}

\frac{( m - 3 ) ( m + 5 )}{m - 25}

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

What is expand (3x^4-10x^3+2x^2-3x+5)/((x-1)(3x+1)) ?
The solution to expand (3x^4-10x^3+2x^2-3x+5)/((x-1)(3x+1)) is (3x^4-10x^3+2x^2-3x+5)/(3x^2-2x-1)