What is expand (r-sqrt(11)-sqrt(13))^2 ?

The solution to expand (r-sqrt(11)-sqrt(13))^2 is r^2-2r(sqrt(11)+sqrt(13))+2sqrt(143)+24

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expand (r-sqrt(11)-sqrt(13))^2

expand

(r - 11 - 13)^{2}

r^{2} - 2 r (11 + 13) + 2143 + 24

Solution steps

(r - 11 - 13)^{2}

Apply exponent rule:

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

(r - 11 - 13)^{2} = (r - 11 - 13) (r - 11 - 13)

= (r - 11 - 13) (r - 11 - 13)

Distribute parentheses

= rr + r (- 11) + r (- 13) - 11 r - 11 (- 11) - 11 (- 13) - 13 r - 13 (- 11) - 13 (- 13)

Simplify

rr + r (- 11) + r (- 13) - 11 r - 11 (- 11) - 11 (- 13) - 13 r - 13 (- 11) - 13 (- 13) : r^{2} - 2 r (11 + 13) + 2143 + 24

= r^{2} - 2 r (11 + 13) + 2143 + 24

\frac{x ^{4} + 10 x ^{3} + 23 x ^{2} + 14 x}{4}

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

(\frac{2 x ^{2} y ^{2}}{3} + 2) (x y + 4 x)

\frac{d}{d x} ((x - 1) (x - 7)^{3}) + 10

(2 + 4 - x^{2} - y^{2})^{2}

What is expand (r-sqrt(11)-sqrt(13))^2 ?
The solution to expand (r-sqrt(11)-sqrt(13))^2 is r^2-2r(sqrt(11)+sqrt(13))+2sqrt(143)+24