What is (sqrt(2x+5)+1)^2 ?

The solution to (sqrt(2x+5)+1)^2 is 2x+2sqrt(2x+5)+6

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simplify (sqrt(2x+5)+1)^2

simplify

(2 x + 5 + 1)^{2}

2 x + 2 2 x + 5 + 6

Solution steps

(2 x + 5 + 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x + 5)^{2} + 2 2 x + 5 \cdot 1 + 1^{2} : 2 x + 2 2 x + 5 + 6

= 2 x + 2 2 x + 5 + 6

(cos (x) - 1) (1 - cos (x))

96 a 2 - 48 a 2 m + 144 a 2 n 2

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

y (x^{3} e^{x y} - y)

3^{0}