What is factor x^3-10x^2+32x-32 ?

The solution to factor x^3-10x^2+32x-32 is (x-2)(x-4)^2

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factor x^3-10x^2+32x-32

factor

x^{3} - 10 x^{2} + 32 x - 32

(x - 2) (x - 4)^{2}

Solution steps

x^{3} - 10 x^{2} + 32 x - 32

Use the rational root theorem

= (x - 2) \frac{x ^{3} - 10 x ^{2} + 32 x - 32}{x - 2}

\frac{x ^{3} - 10 x ^{2} + 32 x - 32}{x - 2} = x^{2} - 8 x + 16

= (x - 2) (x^{2} - 8 x + 16)

Factor

x^{2} - 8 x + 16 : (x - 4) (x - 4)

= (x - 2) (x - 4) (x - 4)

Apply exponent rule:

aa = a^{2}

(x - 4) (x - 4) = (x - 4)^{2}

= (x - 2) (x - 4)^{2}

\frac{3 x - 4}{x ^{2} - 9} + \frac{2 x - 1}{x + 3}

(7 x + 6) (7 x - 6)

\frac{12}{45}

lo g_{4} (125)

(u - v)^{2} + (u + v)^{2}

What is factor x^3-10x^2+32x-32 ?
The solution to factor x^3-10x^2+32x-32 is (x-2)(x-4)^2