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

The solution to (3x+2sqrt(2))^2 is 9x^2+12sqrt(2)x+8

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

simplify

(3 x + 22)^{2}

9 x^{2} + 122 x + 8

Solution steps

(3 x + 22)^{2}

Apply Perfect Square Formula:

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

(3 x + 22)^{2} = (3 x)^{2} + 2 \cdot 3 x \cdot 22 + (22)^{2}

= (3 x)^{2} + 2 \cdot 3 x \cdot 22 + (22)^{2}

(3 x)^{2} = 9 x^{2}

2 \cdot 3 x \cdot 22 = 122 x

(22)^{2} = 8

= 9 x^{2} + 122 x + 8

(cot (a) + sec (a)) csc (a)

(e^{x} + e^{x} x) (e^{x})

[cos (7 t) (5 + sinh (\frac{3 t}{2}) + e^{2 t})]

\frac{d}{d x} ((e^{x}) (5 e^{5 x} - 25 x))

(4 x - 8 y = - 1, 4) (2 x - 4 y = - 7)