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

The solution to expand 4a^2x(a-x)^3 is 4xa^5-12x^2a^4+12x^3a^3-4x^4a^2

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expand 4a^2x(a-x)^3

expand

4 a^{2} x (a - x)^{3}

4 x a^{5} - 12 x^{2} a^{4} + 12 x^{3} a^{3} - 4 x^{4} a^{2}

Solution steps

4 a^{2} x (a - x)^{3}

= 4 x a^{2} (a - x)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

4 x a^{2} a^{3} + 4 x a^{2} (- 3 x a^{2}) + 4 x a^{2} \cdot 3 a x^{2} + 4 x a^{2} (- x^{3}) : 4 x a^{5} - 12 x^{2} a^{4} + 12 x^{3} a^{3} - 4 x^{4} a^{2}

= 4 x a^{5} - 12 x^{2} a^{4} + 12 x^{3} a^{3} - 4 x^{4} a^{2}

(6 x + 4)^{4}

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

\frac{( 36 x + 16 y )}{4}

4 x^{2} - 6 n + 6

a^{17} + b^{17}

What is expand 4a^2x(a-x)^3 ?
The solution to expand 4a^2x(a-x)^3 is 4xa^5-12x^2a^4+12x^3a^3-4x^4a^2