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

The solution to (x+2sqrt(2))^2 is x^2+4sqrt(2)x+8

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

simplify

(x + 22)^{2}

x^{2} + 42 x + 8

Solution steps

(x + 22)^{2}

Apply Perfect Square Formula:

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

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

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

2 x \cdot 22 = 42 x

(22)^{2} = 8

= x^{2} + 42 x + 8

\frac{3 x ^{2} - 5 x - 2}{x ( x - 1 ) ^{2}}

2 x y - 9 x^{2} + (2 y + x^{2} + 1) \frac{d y}{d x}

lo g_{4} (2 x^{2}) (x + 1)

(7 - x)^{2}

\frac{16 ( 3 - 5 )}{5}