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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

= x^{2} - 2 x \cdot 1 + 1^{2} + y^{2}

Simplify

x^{2} - 2 x \cdot 1 + 1^{2} : x^{2} - 2 x + 1

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

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Frequently Asked Questions (FAQ)

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