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Popular >

expand (3-x-y)^2

Solution

expand

(3 - x - y)^{2}

Solution

x^{2} - 6 x - 6 y + 2 x y + y^{2} + 9

Solution steps

(3 - x - y)^{2}

Apply exponent rule:

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

(3 - x - y)^{2} = (3 - x - y) (3 - x - y)

= (3 - x - y) (3 - x - y)

Distribute parentheses

= 3 \cdot 3 + 3 (- x) + 3 (- y) - x \cdot 3 - x (- x) - x (- y) - y \cdot 3 - y (- x) - y (- y)

Simplify

3 \cdot 3 + 3 (- x) + 3 (- y) - x \cdot 3 - x (- x) - x (- y) - y \cdot 3 - y (- x) - y (- y) : x^{2} - 6 x - 6 y + 2 x y + y^{2} + 9

= x^{2} - 6 x - 6 y + 2 x y + y^{2} + 9

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Frequently Asked Questions (FAQ)

What is expand (3-x-y)^2 ?
The solution to expand (3-x-y)^2 is x^2-6x-6y+2xy+y^2+9