What is (sqrt(2x+3)+2)^2 ?

The solution to (sqrt(2x+3)+2)^2 is 2x+4sqrt(2x+3)+7

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simplify (sqrt(2x+3)+2)^2

simplify

(2 x + 3 + 2)^{2}

2 x + 4 2 x + 3 + 7

Solution steps

(2 x + 3 + 2)^{2}

Apply Perfect Square Formula:

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

(2 x + 3 + 2)^{2} = (2 x + 3)^{2} + 2 2 x + 3 \cdot 2 + 2^{2}

= (2 x + 3)^{2} + 2 2 x + 3 \cdot 2 + 2^{2}

Simplify

(2 x + 3)^{2} + 2 2 x + 3 \cdot 2 + 2^{2} : 2 x + 4 2 x + 3 + 7

= 2 x + 4 2 x + 3 + 7

\frac{( 1 - x ) ^{4}}{4}

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

\frac{7}{( 4 + x ) ^{3}}

e^{2 t} t^{\frac{1}{5}} + t u (t - 4)

cot (a) (sin (a) + tan (a))