What is expand sqrt(x+4)(sqrt(x-4)+sqrt(3x-4)) ?

The solution to expand sqrt(x+4)(sqrt(x-4)+sqrt(3x-4)) is sqrt(x^2-16)+sqrt(3x^2+8x-16)

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expand sqrt(x+4)(sqrt(x-4)+sqrt(3x-4))

expand

x + 4 (x - 4 + 3 x - 4)

x^{2} - 16 + 3 x^{2} + 8 x - 16

Solution steps

x + 4 (x - 4 + 3 x - 4)

Apply the distributive law:

a (b + c) = ab + a c

x + 4 (x - 4 + 3 x - 4) = x + 4 x - 4 + x + 4 3 x - 4

= x + 4 x - 4 + x + 4 3 x - 4

x + 4 x - 4 = x^{2} - 16

x + 4 3 x - 4 = 3 x^{2} + 8 x - 16

= x^{2} - 16 + 3 x^{2} + 8 x - 16

(- \frac{1}{23 , 2 + 0 , 9 K}) \cdot (- 0.9 K^{2} + 53.6 K - 793.6)

\frac{1}{( z + 1 ) ( z + 2 )}

4 (4 cos (4 x) - sin (x) + (- 4) sin (4 x) cos (x))

(1, - 2) y (0, 2)

3 (n)^{3} + 2

What is expand sqrt(x+4)(sqrt(x-4)+sqrt(3x-4)) ?
The solution to expand sqrt(x+4)(sqrt(x-4)+sqrt(3x-4)) is sqrt(x^2-16)+sqrt(3x^2+8x-16)