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

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

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

expand

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

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

Solution steps

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

Apply FOIL method:

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

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

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

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

\frac{( 2 y - y ^{2} ) ^{3}}{3}

P (3, - 1) y Q (- 2, - 5)

M (x, y) d x + (x e^{x y} - 6 x y^{2} - 2 y) d y

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

l (- 5 e^{- 2 t} + cos (8 t) + 1)

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