What is (x^3-3x+2)/(x-1) ?

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

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simplify (x^3-3x+2)/(x-1)

simplify

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

(x - 1) (x + 2)

Solution steps

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

Factor

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Cancel the common factor:

x - 1

= (x - 1) (x + 2)

u (3 t - 1)

(cos (x)) (sin (x))

\frac{1}{3} + \frac{5}{2}

\frac{( n + 2 ) !}{( n + 3 ) !}

cos (2) (x)