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 (- 1) + 2 3 - x + 2 (- 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{\partial}{\partial x} ((x - y)^{2}) + (y - 2)^{2}

\frac{( x + Δ x ) ^{(2)} + ( x + Δ x )}{( 3 )}

\frac{( 2 s - 2 )}{( s ^{2} - 2 s + 5 ) ^{2}}

\frac{7 ( - 2 y + 85 )}{6}

\frac{( 2 x - 7 ) ( 3 x ^{2} - 4 + x )}{( 3 x - 5 ) ^{3}}

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