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

The solution to expand x^2(x-2)^4 is x^6-8x^5+24x^4-32x^3+16x^2

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expand x^2(x-2)^4

expand

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

x^{6} - 8 x^{5} + 24 x^{4} - 32 x^{3} + 16 x^{2}

Solution steps

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

Expand

(x - 2)^{4} : x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16

= x^{2} (x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16)

Distribute parentheses

= x^{2} x^{4} + x^{2} (- 8 x^{3}) + x^{2} \cdot 24 x^{2} + x^{2} (- 32 x) + x^{2} \cdot 16

Simplify

x^{2} x^{4} + x^{2} (- 8 x^{3}) + x^{2} \cdot 24 x^{2} + x^{2} (- 32 x) + x^{2} \cdot 16 : x^{6} - 8 x^{5} + 24 x^{4} - 32 x^{3} + 16 x^{2}

= x^{6} - 8 x^{5} + 24 x^{4} - 32 x^{3} + 16 x^{2}

(2 x + 7)^{4}

+ 36 m^{2} - 49 n^{2}

3320

\frac{3}{2}!

\frac{4}{5} \times \frac{5}{6}

What is expand x^2(x-2)^4 ?
The solution to expand x^2(x-2)^4 is x^6-8x^5+24x^4-32x^3+16x^2