What is expand (x-1)^2(x^2-2x+1) ?

The solution to expand (x-1)^2(x^2-2x+1) is x^4-4x^3+6x^2-4x+1

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expand (x-1)^2(x^2-2x+1)

expand

(x - 1)^{2} (x^{2} - 2 x + 1)

x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

Solution steps

(x - 1)^{2} (x^{2} - 2 x + 1)

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= (x^{2} - 2 x + 1) (x^{2} - 2 x + 1)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 1 - 2 x x^{2} - 2 x (- 2 x) - 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot (- 2 x) + 1 \cdot 1

Simplify

x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 1 - 2 x x^{2} - 2 x (- 2 x) - 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot (- 2 x) + 1 \cdot 1 : x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

= x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

(tan (a) + cot (a)) sin (a)

(2 + 33) (1 + a 3)

(5 + x) x^{4} e^{4 x} + 5

\frac{1}{( s - 2 ) ( s - 3 )}

(2 x y^{4} e^{y} + 2 x y^{3} + y) d x + (x^{2} y^{4} e^{y} - x^{2} y^{2} - 3 x) d y

What is expand (x-1)^2(x^2-2x+1) ?
The solution to expand (x-1)^2(x^2-2x+1) is x^4-4x^3+6x^2-4x+1