What is (3*sqrt(x+10)-4)^2 ?

The solution to (3*sqrt(x+10)-4)^2 is 9x-24sqrt(x+10)+106

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simplify (3*sqrt(x+10)-4)^2

simplify

(3 \cdot x + 10 - 4)^{2}

9 x - 24 x + 10 + 106

Solution steps

(3 x + 10 - 4)^{2}

Apply Perfect Square Formula:

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

(3 x + 10 - 4)^{2} = (3 x + 10)^{2} - 2 \cdot 3 x + 10 \cdot 4 + 4^{2}

= (3 x + 10)^{2} - 2 \cdot 3 x + 10 \cdot 4 + 4^{2}

Simplify

(3 x + 10)^{2} - 2 \cdot 3 x + 10 \cdot 4 + 4^{2} : 9 x - 24 x + 10 + 106

= 9 x - 24 x + 10 + 106

(\frac{1}{4} x - 2 y^{3})^{2}

(e^{8 x} + e^{- 8 x})^{2}

40 (e^{- 2 x} - 2 e^{- 2 x} x)

(3 arctan (x) - π) (x^{2} - 3)

\frac{( n + 1 ) ( n + 2 ) ( n + 3 ) ( n + 4 )}{4}

What is (3*sqrt(x+10)-4)^2 ?
The solution to (3*sqrt(x+10)-4)^2 is 9x-24sqrt(x+10)+106