What is (sqrt(x+4)+1)^2 ?

The solution to (sqrt(x+4)+1)^2 is x+2sqrt(x+4)+5

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simplify (sqrt(x+4)+1)^2

simplify

(x + 4 + 1)^{2}

x + 2 x + 4 + 5

Solution steps

(x + 4 + 1)^{2}

Apply Perfect Square Formula:

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

(x + 4 + 1)^{2} = (x + 4)^{2} + 2 x + 4 \cdot 1 + 1^{2}

= (x + 4)^{2} + 2 x + 4 \cdot 1 + 1^{2}

Simplify

(x + 4)^{2} + 2 x + 4 \cdot 1 + 1^{2} : x + 2 x + 4 + 5

= x + 2 x + 4 + 5

e^{x} (x - 2)

(cos (x) - sin (x)) (sin (x) - cos (x))

y ln (y) d x + (x + y) d y

(4 - 2 i)^{5}

sin (x) (1 - sin (x))