What is (sqrt(6-3x^3)+6)^2 ?

The solution to (sqrt(6-3x^3)+6)^2 is -3x^3+12sqrt(6-3x^3)+42

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simplify (sqrt(6-3x^3)+6)^2

simplify

(6 - 3 x^{3} + 6)^{2}

- 3 x^{3} + 12 6 - 3 x^{3} + 42

Solution steps

(6 - 3 x^{3} + 6)^{2}

Apply Perfect Square Formula:

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

(6 - 3 x^{3} + 6)^{2} = (6 - 3 x^{3})^{2} + 2 6 - 3 x^{3} \cdot 6 + 6^{2}

= (6 - 3 x^{3})^{2} + 2 6 - 3 x^{3} \cdot 6 + 6^{2}

Simplify

(6 - 3 x^{3})^{2} + 2 6 - 3 x^{3} \cdot 6 + 6^{2} : - 3 x^{3} + 12 6 - 3 x^{3} + 42

= - 3 x^{3} + 12 6 - 3 x^{3} + 42

(- 2 sin (x) + 1) (sin (x) + 1)

\frac{\partial}{\partial x} ((z) ((4 x + 3 y)^{2}))

11 (2 - 7)

A B (B^{^{'}} + C) + A C

What is (sqrt(6-3x^3)+6)^2 ?
The solution to (sqrt(6-3x^3)+6)^2 is -3x^3+12sqrt(6-3x^3)+42