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

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

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expand x(x^2-2x+2)^2

expand

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

x^{5} - 4 x^{4} + 8 x^{3} - 8 x^{2} + 4 x

Solution steps

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= x^{4} x - 4 x^{3} x + 8 x^{2} x - 8 xx + 4 x

Simplify

x^{4} x - 4 x^{3} x + 8 x^{2} x - 8 xx + 4 x : x^{5} - 4 x^{4} + 8 x^{3} - 8 x^{2} + 4 x

= x^{5} - 4 x^{4} + 8 x^{3} - 8 x^{2} + 4 x

R e ((1 + j) (2 - 3 j))

(t - 1) e^{t}

\frac{9 ( 2 15 - 5 )}{10}

2 x H (x - 2)

\frac{1}{( x ^{2} + 3 x + 5 ) ^{2}}

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