What is (2sqrt(x)-sqrt(3))^2 ?

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

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simplify (2sqrt(x)-sqrt(3))^2

simplify

(2 x - 3)^{2}

4 x - 43 x + 3

Solution steps

(2 x - 3)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x

- 2 \cdot 2 x 3 = - 43 x

(3)^{2} = 3

= 4 x - 43 x + 3

(x + 25) (x - 25)

\frac{s ^{2} + 4 - s ^{3} + 4 s}{( s + 2 ) ^{2} ( s - 2 ) ^{2}}

(4 x - 1 - 5) (4 x - 1 + 5)

\frac{s ^{2} - 4 + s ^{3} + 4 s}{( s ^{2} + 4 ) ^{2}}

sin (θ) (sec (θ) - csc (θ))

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