What is expand (sqrt(4-x)-1)(sqrt(12-x)+3) ?

The solution to expand (sqrt(4-x)-1)(sqrt(12-x)+3) is sqrt(48-16x+x^2)+3sqrt(4-x)-sqrt(12-x)-3

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expand (sqrt(4-x)-1)(sqrt(12-x)+3)

expand

(4 - x - 1) (12 - x + 3)

48 - 16 x + x^{2} + 3 4 - x - 12 - x - 3

Solution steps

(4 - x - 1) (12 - x + 3)

Apply FOIL method:

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

a = 4 - x, b = - 1, c = 12 - x, d = 3

= 4 - x 12 - x + 4 - x \cdot 3 + (- 1) 12 - x + (- 1) \cdot 3

Apply minus-plus rules

+ (- a) = - a

= 4 - x 12 - x + 3 4 - x - 1 \cdot 12 - x - 1 \cdot 3

Simplify

4 - x 12 - x + 3 4 - x - 1 \cdot 12 - x - 1 \cdot 3 : 48 - 16 x + x^{2} + 3 4 - x - 12 - x - 3

= 48 - 16 x + x^{2} + 3 4 - x - 12 - x - 3

(5 + 7) \cdot π

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

\frac{1}{( x - D ) ^{2}}

z (x yz - 8^{z} = 0)

\frac{c x + d}{x ( x ^{2} + a x + b )}

What is expand (sqrt(4-x)-1)(sqrt(12-x)+3) ?
The solution to expand (sqrt(4-x)-1)(sqrt(12-x)+3) is sqrt(48-16x+x^2)+3sqrt(4-x)-sqrt(12-x)-3