What is expand ((x+3)(x-4))/(x(x-2)^2) ?

The solution to expand ((x+3)(x-4))/(x(x-2)^2) is (x^2-x-12)/(x^3-4x^2+4x)

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expand ((x+3)(x-4))/(x(x-2)^2)

expand

\frac{( x + 3 ) ( x - 4 )}{x ( x - 2 ) ^{2}}

\frac{x ^{2} - x - 12}{x ^{3} - 4 x ^{2} + 4 x}

Solution steps

\frac{( x + 3 ) ( x - 4 )}{x ( x - 2 ) ^{2}}

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

= \frac{( x + 3 ) ( x - 4 )}{x ( x ^{2} - 4 x + 4 )}

Expand

x (x^{2} - 4 x + 4) : x^{3} - 4 x^{2} + 4 x

= \frac{( x + 3 ) ( x - 4 )}{x ^{3} - 4 x ^{2} + 4 x}

Expand

(x + 3) (x - 4) : x^{2} - x - 12

= \frac{x ^{2} - x - 12}{x ^{3} - 4 x ^{2} + 4 x}

- x (cos (ln (x)) - sin (ln (x)))

(2 x + x^{(2)} e^{(x)})^{(2)}

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

(1.05)^{9}

2 \times 2

What is expand ((x+3)(x-4))/(x(x-2)^2) ?
The solution to expand ((x+3)(x-4))/(x(x-2)^2) is (x^2-x-12)/(x^3-4x^2+4x)