What is expand (sqrt(3)x+sqrt(2)y+1)^2 ?

The solution to expand (sqrt(3)x+sqrt(2)y+1)^2 is 3x^2+2y^2+2sqrt(3)x+2sqrt(2)y+2sqrt(6)xy+1

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expand (sqrt(3)x+sqrt(2)y+1)^2

expand

(3 x + 2 y + 1)^{2}

3 x^{2} + 2 y^{2} + 23 x + 22 y + 26 x y + 1

Solution steps

(3 x + 2 y + 1)^{2}

Apply exponent rule:

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

(3 x + 2 y + 1)^{2} = (3 x + 2 y + 1) (3 x + 2 y + 1)

= (3 x + 2 y + 1) (3 x + 2 y + 1)

Distribute parentheses

= 3 x 3 x + 3 x 2 y + 3 x \cdot 1 + 2 y 3 x + 2 y 2 y + 2 y \cdot 1 + 1 \cdot 3 x + 1 \cdot 2 y + 1 \cdot 1

Simplify

3 x 3 x + 3 x 2 y + 3 x \cdot 1 + 2 y 3 x + 2 y 2 y + 2 y \cdot 1 + 1 \cdot 3 x + 1 \cdot 2 y + 1 \cdot 1 : 3 x^{2} + 2 y^{2} + 23 x + 22 y + 26 x y + 1

= 3 x^{2} + 2 y^{2} + 23 x + 22 y + 26 x y + 1

(10) (cos (t) + i sin (t))

(cos^{4} (t) - \frac{2}{3} cos^{6} (t)) cos (2 t)

d x (x - 3) (y - 4)

i (x + y i)^{2}

lo g_{4} (10 x)

What is expand (sqrt(3)x+sqrt(2)y+1)^2 ?
The solution to expand (sqrt(3)x+sqrt(2)y+1)^2 is 3x^2+2y^2+2sqrt(3)x+2sqrt(2)y+2sqrt(6)xy+1