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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

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

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

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

Expand

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

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

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Frequently Asked Questions (FAQ)

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