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

The solution to expand x^3(x-4)^4 is x^7-16x^6+96x^5-256x^4+256x^3

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expand x^3(x-4)^4

expand

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

x^{7} - 16 x^{6} + 96 x^{5} - 256 x^{4} + 256 x^{3}

Solution steps

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

Expand

(x - 4)^{4} : x^{4} - 16 x^{3} + 96 x^{2} - 256 x + 256

= x^{3} (x^{4} - 16 x^{3} + 96 x^{2} - 256 x + 256)

Distribute parentheses

= x^{3} x^{4} + x^{3} (- 16 x^{3}) + x^{3} \cdot 96 x^{2} + x^{3} (- 256 x) + x^{3} \cdot 256

Simplify

x^{3} x^{4} + x^{3} (- 16 x^{3}) + x^{3} \cdot 96 x^{2} + x^{3} (- 256 x) + x^{3} \cdot 256 : x^{7} - 16 x^{6} + 96 x^{5} - 256 x^{4} + 256 x^{3}

= x^{7} - 16 x^{6} + 96 x^{5} - 256 x^{4} + 256 x^{3}

\frac{400}{9}

- \frac{3}{4} \times 4

0.012 5^{6}

5 \times 60

36 \times 8

What is expand x^3(x-4)^4 ?
The solution to expand x^3(x-4)^4 is x^7-16x^6+96x^5-256x^4+256x^3