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

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

Popular >

expand (1-x-y)^2

expand

(1 - x - y)^{2}

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

\frac{x ^{5} - 1}{x - 1}

\frac{x ^{2} + 4 x + 3}{x + 3}

\frac{3}{4} \div \frac{1}{4}

- 6 \cdot - 12 \cdot - 5

(5 x + 4)^{2}

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