What is expand (r-sqrt(3)-sqrt(11))^2 ?

The solution to expand (r-sqrt(3)-sqrt(11))^2 is r^2-2r(sqrt(3)+sqrt(11))+2sqrt(33)+14

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expand (r-sqrt(3)-sqrt(11))^2

expand

(r - 3 - 11)^{2}

r^{2} - 2 r (3 + 11) + 233 + 14

Solution steps

(r - 3 - 11)^{2}

Apply exponent rule:

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

(r - 3 - 11)^{2} = (r - 3 - 11) (r - 3 - 11)

= (r - 3 - 11) (r - 3 - 11)

Distribute parentheses

= rr + r (- 3) + r (- 11) - 3 r - 3 (- 3) - 3 (- 11) - 11 r - 11 (- 3) - 11 (- 11)

Simplify

rr + r (- 3) + r (- 11) - 3 r - 3 (- 3) - 3 (- 11) - 11 r - 11 (- 3) - 11 (- 11) : r^{2} - 2 r (3 + 11) + 233 + 14

= r^{2} - 2 r (3 + 11) + 233 + 14

(2 x - 2) y^{''} (x) - 2 x y^{'} (x) + 2 y

\frac{x ^{2}}{16} + \frac{( 10 - x ) ^{2}}{4 π}

\frac{5 x ^{2} + 8 x + 21}{( x ^{2} + x + 6 ) ( x + 1 )}

(3 + cos (x))^{2}

s \cdot (1 + \frac{s}{3}) \cdot (1 + \frac{s}{20})

What is expand (r-sqrt(3)-sqrt(11))^2 ?
The solution to expand (r-sqrt(3)-sqrt(11))^2 is r^2-2r(sqrt(3)+sqrt(11))+2sqrt(33)+14