What is factor 3/2 x^2-3 ?

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

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factor 3/2 x^2-3

factor

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

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

Solution steps

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

Rewrite

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

(\frac{3}{2} x)^{2} - (3)^{2}

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

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

x^{2} + 2 x y i - y^{2}

(2 x + 3 y) - 2

[(x + z) + 5] [(x + z) - 5]

x^{2} - 11 + 30

x^{2} - a x - b x + ab

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