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

The solution to (2x+sqrt(3)y)^2 is 4x^2+4sqrt(3)xy+3y^2

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simplify (2x+sqrt(3)y)^2

simplify

(2 x + 3 y)^{2}

4 x^{2} + 43 x y + 3 y^{2}

Solution steps

(2 x + 3 y)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 x + 3 y)^{2} = (2 x)^{2} + 2 \cdot 2 x 3 y + (3 y)^{2}

= (2 x)^{2} + 2 \cdot 2 x 3 y + (3 y)^{2}

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

2 \cdot 2 x 3 y = 43 x y

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

= 4 x^{2} + 43 x y + 3 y^{2}

\frac{- 3 s ^{3} + 7 s ^{2} + 32 s + 16}{s ^{2} ( s ^{2} + 8 )}

cos (\frac{π}{2})

ln (x y)

(8 - 8 e^{- t}) \cdot (20 - 20 e^{- t})

\frac{y ^{2}}{x d x + ( y ^{2} - x ^{2} - y ) d y}

What is (2x+sqrt(3)y)^2 ?
The solution to (2x+sqrt(3)y)^2 is 4x^2+4sqrt(3)xy+3y^2