What is (xsqrt(2)+1)^2 ?

The solution to (xsqrt(2)+1)^2 is 2x^2+2sqrt(2)x+1

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simplify (xsqrt(2)+1)^2

simplify

(x 2 + 1)^{2}

2 x^{2} + 22 x + 1

Solution steps

(x 2 + 1)^{2}

Apply Perfect Square Formula:

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

(x 2 + 1)^{2} = (x 2)^{2} + 2 x 2 \cdot 1 + 1^{2}

= (x 2)^{2} + 2 x 2 \cdot 1 + 1^{2}

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

2 x 2 \cdot 1 = 22 x

1^{2} = 1

= 2 x^{2} + 22 x + 1

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

8 (4 k - 4 = - 5 k - 32)

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e^{a} (\frac{1}{e ^{20}} - \frac{1}{e ^{24}})

(3 p - 2 q)^{2}