What is ((sqrt(3)x-y)(x+sqrt(3)y)sqrt(3))/2 ?

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

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simplify ((sqrt(3)x-y)(x+sqrt(3)y)sqrt(3))/2

simplify

\frac{( 3 x - y ) ( x + 3 y ) 3}{2}

\frac{3 x ^{2} + 2 3 x y - 3 y ^{2}}{2}

Solution steps

\frac{( 3 x - y ) ( x + 3 y ) 3}{2}

Apply FOIL method

(3 x - y) (x + 3 y) : 3 x^{2} + 2 x y - 3 y^{2}

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

Expand

3 (3 x^{2} + 2 x y - 3 y^{2}) : 3 x^{2} + 23 x y - 3 y^{2}

= \frac{3 x ^{2} + 2 3 x y - 3 y ^{2}}{2}

d im (4 x - y - 5 z = 0)

(1.4) (3 x + y = 5)

(2 t u + u + t^{2}) d e (- 2 t^{2} - 4 t u)

(x - 1)^{2} x - 1

((x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}) - 2) tan (x + h)

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