What is (sqrt(x+14)-sqrt(x+4))^2 ?

The solution to (sqrt(x+14)-sqrt(x+4))^2 is 2x-2sqrt(x+14)sqrt(x+4)+18

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simplify (sqrt(x+14)-sqrt(x+4))^2

simplify

(x + 14 - x + 4)^{2}

2 x - 2 x + 14 x + 4 + 18

Solution steps

(x + 14 - x + 4)^{2}

Apply Perfect Square Formula:

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

(x + 14 - x + 4)^{2} = (x + 14)^{2} - 2 x + 14 x + 4 + (x + 4)^{2}

= (x + 14)^{2} - 2 x + 14 x + 4 + (x + 4)^{2}

Simplify

(x + 14)^{2} - 2 x + 14 x + 4 + (x + 4)^{2} : 2 x - 2 x + 14 x + 4 + 18

= 2 x - 2 x + 14 x + 4 + 18

A (- 2, 1) B (1, 2) C (2, - 3)

\frac{\partial}{\partial x} ((z) (- e^{z} + 2 x yz))

(\frac{3 a}{7} - b) (5 a^{2} + b^{2})

t e^{t} u (t - 1)

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

What is (sqrt(x+14)-sqrt(x+4))^2 ?
The solution to (sqrt(x+14)-sqrt(x+4))^2 is 2x-2sqrt(x+14)sqrt(x+4)+18