What is expand (3-sqrt(11-x))(sqrt(6-x)+2) ?

The solution to expand (3-sqrt(11-x))(sqrt(6-x)+2) is 3sqrt(6-x)+6-sqrt(66-17x+x^2)-2sqrt(11-x)

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expand (3-sqrt(11-x))(sqrt(6-x)+2)

expand

(3 - 11 - x) (6 - x + 2)

3 6 - x + 6 - 66 - 17 x + x^{2} - 2 11 - x

Solution steps

(3 - 11 - x) (6 - x + 2)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 3, b = - 11 - x, c = 6 - x, d = 2

= 3 6 - x + 3 \cdot 2 + (- 11 - x) 6 - x + (- 11 - x) \cdot 2

Apply minus-plus rules

+ (- a) = - a

= 3 6 - x + 3 \cdot 2 - 11 - x 6 - x - 2 11 - x

Simplify

3 6 - x + 3 \cdot 2 - 11 - x 6 - x - 2 11 - x : 3 6 - x + 6 - 66 - 17 x + x^{2} - 2 11 - x

= 3 6 - x + 6 - 66 - 17 x + x^{2} - 2 11 - x

(e^{- t} + 2 e^{2 t}) (- 2 e^{- t} - 8 e^{- 2 t})

\frac{4}{( x + 2 ) ( x - 2 )}

sin (4 (t - u))

- 6 (- 3 x + y = - 3)

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

What is expand (3-sqrt(11-x))(sqrt(6-x)+2) ?
The solution to expand (3-sqrt(11-x))(sqrt(6-x)+2) is 3sqrt(6-x)+6-sqrt(66-17x+x^2)-2sqrt(11-x)