What is expand (sqrt(3-x)-1)(-sqrt(6-x)-2) ?

The solution to expand (sqrt(3-x)-1)(-sqrt(6-x)-2) is -sqrt(18-9x+x^2)-2sqrt(3-x)+sqrt(6-x)+2

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expand (sqrt(3-x)-1)(-sqrt(6-x)-2)

expand

(3 - x - 1) (- 6 - x - 2)

- 18 - 9 x + x^{2} - 2 3 - x + 6 - x + 2

Solution steps

(3 - x - 1) (- 6 - x - 2)

Apply FOIL method:

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

a = 3 - x, b = - 1, c = - 6 - x, d = - 2

= 3 - x (- 6 - x) + 3 - x (- 2) + (- 1) (- 6 - x) + (- 1) (- 2)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= - 3 - x 6 - x - 2 3 - x + 1 \cdot 6 - x + 1 \cdot 2

Simplify

- 3 - x 6 - x - 2 3 - x + 1 \cdot 6 - x + 1 \cdot 2 : - 18 - 9 x + x^{2} - 2 3 - x + 6 - x + 2

= - 18 - 9 x + x^{2} - 2 3 - x + 6 - x + 2

a (3, - 1) y (- 5, 7)

(x^{2} + 5 x + 2)^{7}

\frac{6 x ^{2} - 4 x}{( x + 2 ) ^{2} ( x - 1 )}

4 (x^{2} + 2 x - 4)^{5}

(7 v^{2} - 4 v - 3) (6 v - 2^{^{'}})

What is expand (sqrt(3-x)-1)(-sqrt(6-x)-2) ?
The solution to expand (sqrt(3-x)-1)(-sqrt(6-x)-2) is -sqrt(18-9x+x^2)-2sqrt(3-x)+sqrt(6-x)+2