What is expand (2sqrt(x)+3)(2sqrt(x-3)) ?

The solution to expand (2sqrt(x)+3)(2sqrt(x-3)) is 4sqrt(x^2-3x)+6sqrt(x-3)

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expand (2sqrt(x)+3)(2sqrt(x-3))

expand

(2 x + 3) (2 x - 3)

4 x^{2} - 3 x + 6 x - 3

Solution steps

(2 x + 3) (2 x - 3)

Apply the distributive law:

a (b + c) = ab + a c

a = (2 x - 3), b = 2 x, c = 3

= (2 x - 3) \cdot 2 x + (2 x - 3) \cdot 3

= 2 x (2 x - 3) + 3 (2 x - 3)

Simplify

2 x (2 x - 3) + 3 (2 x - 3) : 4 x^{2} - 3 x + 6 x - 3

= 4 x^{2} - 3 x + 6 x - 3

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

(3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

e (f + g)

(x - 1) \cdot e^{x + 1}

e^{3 x} (1 - 3 x)

What is expand (2sqrt(x)+3)(2sqrt(x-3)) ?
The solution to expand (2sqrt(x)+3)(2sqrt(x-3)) is 4sqrt(x^2-3x)+6sqrt(x-3)