What is expand (6x^2-24x-16)/((x-2)^2) ?

The solution to expand (6x^2-24x-16)/((x-2)^2) is (6x^2-24x-16)/(x^2-4x+4)

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expand (6x^2-24x-16)/((x-2)^2)

expand

\frac{6 x ^{2} - 24 x - 16}{( x - 2 ) ^{2}}

\frac{6 x ^{2} - 24 x - 16}{x ^{2} - 4 x + 4}

Solution steps

\frac{6 x ^{2} - 24 x - 16}{( x - 2 ) ^{2}}

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

= \frac{6 x ^{2} - 24 x - 16}{x ^{2} - 4 x + 4}

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

e^{t} (t^{2} + 2 t - 1)

(1 - cos (x)) 2

\frac{d ^{2}}{d t ^{2}} ((h) (3 t^{2} - 2 t + 4 + e^{- 10 t}))

- 5 (- 7 - 2)

What is expand (6x^2-24x-16)/((x-2)^2) ?
The solution to expand (6x^2-24x-16)/((x-2)^2) is (6x^2-24x-16)/(x^2-4x+4)