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

= 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

\frac{2}{( 2 s + 1 ) \cdot ( s + 1 ) \cdot ( s + 2 )}

\frac{3 ( - π - ln ∣ x ∣ )}{5}

9 \cdot (e^{12} - 1)

\frac{s ^{2} + 2 s - 3}{( s - 3 ) ( s + 2 )}

\frac{( 2 x - 1 ) ( x - 3 )}{( x + 3 ) ( 4 x + 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