What is (sqrt(x^2+9)+6)^2 ?

The solution to (sqrt(x^2+9)+6)^2 is x^2+12sqrt(x^2+9)+45

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simplify (sqrt(x^2+9)+6)^2

simplify

(x^{2} + 9 + 6)^{2}

x^{2} + 12 x^{2} + 9 + 45

Solution steps

(x^{2} + 9 + 6)^{2}

Apply Perfect Square Formula:

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

(x^{2} + 9 + 6)^{2} = (x^{2} + 9)^{2} + 2 x^{2} + 9 \cdot 6 + 6^{2}

= (x^{2} + 9)^{2} + 2 x^{2} + 9 \cdot 6 + 6^{2}

Simplify

(x^{2} + 9)^{2} + 2 x^{2} + 9 \cdot 6 + 6^{2} : x^{2} + 12 x^{2} + 9 + 45

= x^{2} + 12 x^{2} + 9 + 45

6 (ln (x) + 1)

y^{3} - 2^{21}

\frac{( k + 1 ) ( 3 k + 2 )}{2}

(5 + 7)^{4}

\frac{k ( k + 1 ) ( 2 k + 1 )}{6}

What is (sqrt(x^2+9)+6)^2 ?
The solution to (sqrt(x^2+9)+6)^2 is x^2+12sqrt(x^2+9)+45