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

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

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

simplify

(2 x + 2)^{2}

4 x + 42 x + 2

Solution steps

(2 x + 2)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x

2 \cdot 2 x 2 = 42 x

(2)^{2} = 2

= 4 x + 42 x + 2

(1 + \frac{3 i}{n})^{3}

\frac{- 2 s + 4}{( s ^{2} + 1 ) ( s - 1 ) ^{2}}

(x^{2})^{3}

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

\frac{s ^{2} + 1}{s ( s - 1 ) ( s + 1 ) ( s - 2 )}

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