What is expand x^3(2x-5)^4 ?

The solution to expand x^3(2x-5)^4 is 16x^7-160x^6+600x^5-1000x^4+625x^3

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expand x^3(2x-5)^4

expand

x^{3} (2 x - 5)^{4}

16 x^{7} - 160 x^{6} + 600 x^{5} - 1000 x^{4} + 625 x^{3}

Solution steps

x^{3} (2 x - 5)^{4}

Expand

(2 x - 5)^{4} : 16 x^{4} - 160 x^{3} + 600 x^{2} - 1000 x + 625

= x^{3} (16 x^{4} - 160 x^{3} + 600 x^{2} - 1000 x + 625)

Distribute parentheses

= x^{3} \cdot 16 x^{4} + x^{3} (- 160 x^{3}) + x^{3} \cdot 600 x^{2} + x^{3} (- 1000 x) + x^{3} \cdot 625

Simplify

x^{3} \cdot 16 x^{4} + x^{3} (- 160 x^{3}) + x^{3} \cdot 600 x^{2} + x^{3} (- 1000 x) + x^{3} \cdot 625 : 16 x^{7} - 160 x^{6} + 600 x^{5} - 1000 x^{4} + 625 x^{3}

= 16 x^{7} - 160 x^{6} + 600 x^{5} - 1000 x^{4} + 625 x^{3}

\frac{\frac{1}{x}}{1 + \frac{1}{x}}

- \frac{3}{4} \cdot (- \frac{3}{4})

- e^{- l n (3) - l n (2)}

(x + 2)^{8}

8 (- 2 i) (- 5 - 4 i)

What is expand x^3(2x-5)^4 ?
The solution to expand x^3(2x-5)^4 is 16x^7-160x^6+600x^5-1000x^4+625x^3