What is (sqrt(5x+4)+sqrt(14))^2 ?

The solution to (sqrt(5x+4)+sqrt(14))^2 is 5x+2sqrt(14)sqrt(5x+4)+18

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simplify (sqrt(5x+4)+sqrt(14))^2

simplify

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

5 x + 214 5 x + 4 + 18

Solution steps

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

Apply Perfect Square Formula:

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

(5 x + 4 + 14)^{2} = (5 x + 4)^{2} + 2 5 x + 4 14 + (14)^{2}

= (5 x + 4)^{2} + 2 5 x + 4 14 + (14)^{2}

Simplify

(5 x + 4)^{2} + 2 5 x + 4 14 + (14)^{2} : 5 x + 214 5 x + 4 + 18

= 5 x + 214 5 x + 4 + 18

\frac{- 1}{3} 3^{2} + \frac{2}{3} 3 + \frac{8}{3}

(e^{- x} + 1)^{2}

x^{\frac{1}{3}} \cdot (x - 2)^{2}

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

\frac{csc ( a ) ( tan ( a ) - sin ( a ) )}{1 - sec ( a )}

What is (sqrt(5x+4)+sqrt(14))^2 ?
The solution to (sqrt(5x+4)+sqrt(14))^2 is 5x+2sqrt(14)sqrt(5x+4)+18