What is (sqrt(5x+16)+4)^2 ?

The solution to (sqrt(5x+16)+4)^2 is 5x+8sqrt(5x+16)+32

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simplify (sqrt(5x+16)+4)^2

simplify

(5 x + 16 + 4)^{2}

5 x + 8 5 x + 16 + 32

Solution steps

(5 x + 16 + 4)^{2}

Apply Perfect Square Formula:

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

(5 x + 16 + 4)^{2} = (5 x + 16)^{2} + 2 5 x + 16 \cdot 4 + 4^{2}

= (5 x + 16)^{2} + 2 5 x + 16 \cdot 4 + 4^{2}

Simplify

(5 x + 16)^{2} + 2 5 x + 16 \cdot 4 + 4^{2} : 5 x + 8 5 x + 16 + 32

= 5 x + 8 5 x + 16 + 32

\frac{1}{2} (0.5 \cdot 20 + 1) + \frac{1}{2} (0.5 \cdot 5 + 1)

A (- 1, 0) B (2, - 8)

(3 x^{2} + \frac{1}{x})^{4}

(x^{2} + 4) \cdot x

e f (6 e^{2} - 11)

What is (sqrt(5x+16)+4)^2 ?
The solution to (sqrt(5x+16)+4)^2 is 5x+8sqrt(5x+16)+32