What is ((4-2x-x^2-(4-2a-a^2)))/((x-a)) ?

The solution to ((4-2x-x^2-(4-2a-a^2)))/((x-a)) is -x-a-2

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simplify ((4-2x-x^2-(4-2a-a^2)))/((x-a))

simplify

\frac{( 4 - 2 x - x ^{2} - ( 4 - 2 a - a ^{2} ) )}{( x - a )}

- x - a - 2

Solution steps

\frac{4 - 2 x - x ^{2} - ( 4 - 2 a - a ^{2} )}{x - a}

Simplify

4 - 2 x - x^{2} - (4 - 2 a - a^{2}) : - x^{2} + a^{2} - 2 x + 2 a

= \frac{- x ^{2} + a ^{2} - 2 x + 2 a}{x - a}

Factor out

- 1 : - (x^{2} - a^{2} + 2 x - 2 a)

= \frac{- ( x ^{2} - a ^{2} + 2 x - 2 a )}{x - a}

Factor

x^{2} - a^{2} + 2 x - 2 a : (x - a) (x + a + 2)

= \frac{- ( x - a ) ( x + a + 2 )}{x - a}

Cancel the common factor:

x - a

= - (x + a + 2)

Simplify

- (x + a + 2) : - x - a - 2

= - x - a - 2

\frac{1}{a} + \frac{b}{2}

a^{4} - 25 b^{2} + 30 b - 9

cos (18 0^{\circ}) + x

(s + 1)^{5}

4 x - 14 x^{3}

What is ((4-2x-x^2-(4-2a-a^2)))/((x-a)) ?
The solution to ((4-2x-x^2-(4-2a-a^2)))/((x-a)) is -x-a-2