What is expand (3-2x-6y)^2 ?

The solution to expand (3-2x-6y)^2 is 4x^2-12x-36y+24xy+36y^2+9

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expand (3-2x-6y)^2

expand

(3 - 2 x - 6 y)^{2}

4 x^{2} - 12 x - 36 y + 24 x y + 36 y^{2} + 9

Solution steps

(3 - 2 x - 6 y)^{2}

Apply exponent rule:

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

(3 - 2 x - 6 y)^{2} = (3 - 2 x - 6 y) (3 - 2 x - 6 y)

= (3 - 2 x - 6 y) (3 - 2 x - 6 y)

Distribute parentheses

= 3 \cdot 3 + 3 (- 2 x) + 3 (- 6 y) - 2 x \cdot 3 - 2 x (- 2 x) - 2 x (- 6 y) - 6 y \cdot 3 - 6 y (- 2 x) - 6 y (- 6 y)

Simplify

3 \cdot 3 + 3 (- 2 x) + 3 (- 6 y) - 2 x \cdot 3 - 2 x (- 2 x) - 2 x (- 6 y) - 6 y \cdot 3 - 6 y (- 2 x) - 6 y (- 6 y) : 4 x^{2} - 12 x - 36 y + 24 x y + 36 y^{2} + 9

= 4 x^{2} - 12 x - 36 y + 24 x y + 36 y^{2} + 9

6 (k + 5)

\frac{4 x ^{3} y}{8 x ^{2} y ^{3}}

(x^{2} - 2)^{4}

- 32 \div 4

(- 8) (- 9)

What is expand (3-2x-6y)^2 ?
The solution to expand (3-2x-6y)^2 is 4x^2-12x-36y+24xy+36y^2+9