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

The solution to expand (2x^3(x+4)^3)/(x+2) is (2x^6+24x^5+96x^4+128x^3)/(x+2)

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

expand

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

\frac{2 x ^{6} + 24 x ^{5} + 96 x ^{4} + 128 x ^{3}}{x + 2}

Solution steps

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

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

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

Expand

2 x^{3} (x^{3} + 12 x^{2} + 48 x + 64) : 2 x^{6} + 24 x^{5} + 96 x^{4} + 128 x^{3}

= \frac{2 x ^{6} + 24 x ^{5} + 96 x ^{4} + 128 x ^{3}}{x + 2}

- \frac{14}{( x + 1 ) ^{3}}

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

e^{4 (l n ∣ x ∣ + 5)}

\frac{x + 5}{( x - 2 ) ^{2}}

(1 + x + x^{2})^{10}

What is expand (2x^3(x+4)^3)/(x+2) ?
The solution to expand (2x^3(x+4)^3)/(x+2) is (2x^6+24x^5+96x^4+128x^3)/(x+2)