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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

5 x^{2} + 7 - 3 x + 8

(2 - 5 x)^{8}

\frac{1 - 3 i}{1 + 2 i}

i^{232}

4 x^{2} + 14 x + 6

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