What is expand (6-x-2y)^2 ?

The solution to expand (6-x-2y)^2 is x^2-12x-24y+4xy+4y^2+36

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expand (6-x-2y)^2

expand

(6 - x - 2 y)^{2}

x^{2} - 12 x - 24 y + 4 x y + 4 y^{2} + 36

Solution steps

(6 - x - 2 y)^{2}

Apply exponent rule:

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

(6 - x - 2 y)^{2} = (6 - x - 2 y) (6 - x - 2 y)

= (6 - x - 2 y) (6 - x - 2 y)

Distribute parentheses

= 6 \cdot 6 + 6 (- x) + 6 (- 2 y) - x \cdot 6 - x (- x) - x (- 2 y) - 2 y \cdot 6 - 2 y (- x) - 2 y (- 2 y)

Simplify

6 \cdot 6 + 6 (- x) + 6 (- 2 y) - x \cdot 6 - x (- x) - x (- 2 y) - 2 y \cdot 6 - 2 y (- x) - 2 y (- 2 y) : x^{2} - 12 x - 24 y + 4 x y + 4 y^{2} + 36

= x^{2} - 12 x - 24 y + 4 x y + 4 y^{2} + 36

1 0^{5} + 1 0^{- 3}

(x - 4) \cdot 2 - (x + 1)

x^{3} - 8 x^{2} + 21 x - 18

64 + 9

3 (y + 2)

What is expand (6-x-2y)^2 ?
The solution to expand (6-x-2y)^2 is x^2-12x-24y+4xy+4y^2+36