What is expand (2(x^3-6x^2+12x-7))/((x-2)^3) ?

The solution to expand (2(x^3-6x^2+12x-7))/((x-2)^3) is (2x^3-12x^2+24x-14)/(x^3-6x^2+12x-8)

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expand (2(x^3-6x^2+12x-7))/((x-2)^3)

expand

\frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{( x - 2 ) ^{3}}

\frac{2 x ^{3} - 12 x ^{2} + 24 x - 14}{x ^{3} - 6 x ^{2} + 12 x - 8}

Solution steps

\frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{( x - 2 ) ^{3}}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{2 ( x ^{3} - 6 x ^{2} + 12 x - 7 )}{x ^{3} - 6 x ^{2} + 12 x - 8}

Expand

2 (x^{3} - 6 x^{2} + 12 x - 7) : 2 x^{3} - 12 x^{2} + 24 x - 14

= \frac{2 x ^{3} - 12 x ^{2} + 24 x - 14}{x ^{3} - 6 x ^{2} + 12 x - 8}

(\frac{4}{16} x + \frac{5}{16} y + \frac{3}{16} z + \frac{4}{16} w)^{4}

(2 a^{3} + \frac{3}{a})^{6}

P (1, 1, 2) Q (- 4, - 6, - 64) R (10, 10, 10)

x^{2} d x + y (x - 1) d y

What is expand (2(x^3-6x^2+12x-7))/((x-2)^3) ?
The solution to expand (2(x^3-6x^2+12x-7))/((x-2)^3) is (2x^3-12x^2+24x-14)/(x^3-6x^2+12x-8)