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

The solution to expand ((x-7)(x-2))/((x+2)(x-1)^2) is (x^2-9x+14)/(x^3-3x+2)

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

expand

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

\frac{x ^{2} - 9 x + 14}{x ^{3} - 3 x + 2}

Solution steps

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

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

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

Expand

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

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

Expand

(x - 7) (x - 2) : x^{2} - 9 x + 14

= \frac{x ^{2} - 9 x + 14}{x ^{3} - 3 x + 2}

\frac{3}{4} (1 + s) (1 - t) + \frac{5}{4} (1 + s) (1 + t)

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

(3 x - 8 y - 18 = 0,) (3 x - 8 y + 1 = 0)

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

(- 2 + 6 i)^{4}

What is expand ((x-7)(x-2))/((x+2)(x-1)^2) ?
The solution to expand ((x-7)(x-2))/((x+2)(x-1)^2) is (x^2-9x+14)/(x^3-3x+2)