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

The solution to expand (x-sqrt(2)+2)^2 is x^2+2x(2-sqrt(2))-4sqrt(2)+6

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expand (x-sqrt(2)+2)^2

expand

(x - 2 + 2)^{2}

x^{2} + 2 x (2 - 2) - 42 + 6

Solution steps

(x - 2 + 2)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (x - 2 + 2) (x - 2 + 2)

Distribute parentheses

= xx + x (- 2) + x \cdot 2 - 2 x - 2 (- 2) - 2 \cdot 2 + 2 x + 2 (- 2) + 2 \cdot 2

Simplify

xx + x (- 2) + x \cdot 2 - 2 x - 2 (- 2) - 2 \cdot 2 + 2 x + 2 (- 2) + 2 \cdot 2 : x^{2} + 2 x (2 - 2) - 42 + 6

= x^{2} + 2 x (2 - 2) - 42 + 6

cos (2) (π - θ)

x^{\frac{1}{3}} (4 x - 4)

\frac{27 + 3 s ^{3} + 2 s ^{2}}{s ^{2} ( s ^{2} + 9 )}

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

(L^{\frac{1}{3}} + K^{\frac{1}{3}})^{3}

What is expand (x-sqrt(2)+2)^2 ?
The solution to expand (x-sqrt(2)+2)^2 is x^2+2x(2-sqrt(2))-4sqrt(2)+6