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Popular >

simplify 1-(x-1)^2

Solution

simplify

1 - (x - 1)^{2}

Solution

- x^{2} + 2 x

Solution steps

1 - (x - 1)^{2}

Expand

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

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

Group like terms

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

Subtract the numbers:

1 - 1 = 0

= - x^{2} + 2 x

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Frequently Asked Questions (FAQ)

What is 1-(x-1)^2 ?
The solution to 1-(x-1)^2 is -x^2+2x