What is expand (s+1/(sqrt(2)))^2 ?

The solution to expand (s+1/(sqrt(2)))^2 is (2s^2+2sqrt(2)s+1)/2

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expand (s+1/(sqrt(2)))^2

expand

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

\frac{2 s ^{2} + 2 2 s + 1}{2}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= \frac{2 s ^{2} + 2 2 s + 1}{2}

\frac{d ^{2}}{d x d y} ((f (x, y)) (2 x^{2} + 3 y^{2} - 4 x y + 2 y - 3))

\frac{7 x - 3}{x ( x + 3 ) ( x - 1 )}

(4 + x) (5 + x)

(i w + 1)^{3}

\frac{( x + 6 ) ^{2}}{x + 8}

What is expand (s+1/(sqrt(2)))^2 ?
The solution to expand (s+1/(sqrt(2)))^2 is (2s^2+2sqrt(2)s+1)/2