What is expand (r-sqrt(3)-sqrt(13))^2 ?

The solution to expand (r-sqrt(3)-sqrt(13))^2 is r^2-2r(sqrt(3)+sqrt(13))+2sqrt(39)+16

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expand (r-sqrt(3)-sqrt(13))^2

expand

(r - 3 - 13)^{2}

r^{2} - 2 r (3 + 13) + 239 + 16

Solution steps

(r - 3 - 13)^{2}

Apply exponent rule:

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

(r - 3 - 13)^{2} = (r - 3 - 13) (r - 3 - 13)

= (r - 3 - 13) (r - 3 - 13)

Distribute parentheses

= rr + r (- 3) + r (- 13) - 3 r - 3 (- 3) - 3 (- 13) - 13 r - 13 (- 3) - 13 (- 13)

Simplify

rr + r (- 3) + r (- 13) - 3 r - 3 (- 3) - 3 (- 13) - 13 r - 13 (- 3) - 13 (- 13) : r^{2} - 2 r (3 + 13) + 239 + 16

= r^{2} - 2 r (3 + 13) + 239 + 16

(x + 15 - 13 i) (x + 15 + 13 i)

(D - \frac{2}{25}) (D + \frac{2}{25})

(A + B^{^{'}}) (A + C)

3 (2 + 10)

(10 + 27) (7 + 10)

What is expand (r-sqrt(3)-sqrt(13))^2 ?
The solution to expand (r-sqrt(3)-sqrt(13))^2 is r^2-2r(sqrt(3)+sqrt(13))+2sqrt(39)+16