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

The solution to expand (x(x-3)^2)/((x+4)^3) is (x^3-6x^2+9x)/(x^3+12x^2+48x+64)

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

expand

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

\frac{x ^{3} - 6 x ^{2} + 9 x}{x ^{3} + 12 x ^{2} + 48 x + 64}

Solution steps

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

(x + 4)^{3} = x^{3} + 12 x^{2} + 48 x + 64

= \frac{x ( x - 3 ) ^{2}}{x ^{3} + 12 x ^{2} + 48 x + 64}

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{x ( x ^{2} - 6 x + 9 )}{x ^{3} + 12 x ^{2} + 48 x + 64}

Expand

x (x^{2} - 6 x + 9) : x^{3} - 6 x^{2} + 9 x

= \frac{x ^{3} - 6 x ^{2} + 9 x}{x ^{3} + 12 x ^{2} + 48 x + 64}

\frac{( ( 3 - 2 z ) )}{( ( 1 - z ) ^{2} )}

A (- 4, 2) B (1, 5) C (3, - 4)

- \frac{( - 3 x + 1 ) ( 93 x + 7 )}{1017}

- \frac{1}{4} (x^{2} + 1) e^{2 x}

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

What is expand (x(x-3)^2)/((x+4)^3) ?
The solution to expand (x(x-3)^2)/((x+4)^3) is (x^3-6x^2+9x)/(x^3+12x^2+48x+64)