What is (sqrt(x+1)+3)^2 ?

The solution to (sqrt(x+1)+3)^2 is x+6sqrt(x+1)+10

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simplify (sqrt(x+1)+3)^2

simplify

(x + 1 + 3)^{2}

x + 6 x + 1 + 10

Solution steps

(x + 1 + 3)^{2}

Apply Perfect Square Formula:

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

(x + 1 + 3)^{2} = (x + 1)^{2} + 2 x + 1 \cdot 3 + 3^{2}

= (x + 1)^{2} + 2 x + 1 \cdot 3 + 3^{2}

Simplify

(x + 1)^{2} + 2 x + 1 \cdot 3 + 3^{2} : x + 6 x + 1 + 10

= x + 6 x + 1 + 10

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

(1 - cos (x)) (1 + sec (x)) cos (x)

3 e^{2 (1 + iπ)}

3 - 7 x^{4} + δ (x - 2)

(4 - 2 x)^{2}