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Popular >

expand (1-x-y)^2

Solution

expand

(1 - x - y)^{2}

Solution

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

Solution steps

(1 - x - y)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (1 - x - y) (1 - x - y)

Distribute parentheses

= 1 \cdot 1 + 1 \cdot (- x) + 1 \cdot (- y) - x \cdot 1 - x (- x) - x (- y) - y \cdot 1 - y (- x) - y (- y)

Simplify

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

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

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Frequently Asked Questions (FAQ)

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