Simplify ((z^2-4)*1)/(2-z)

Math
(z2-4)⋅12-z
Multiply z2-4 by 1.
z2-42-z
Simplify the numerator.
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Rewrite 4 as 22.
z2-222-z
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=z and b=2.
(z+2)(z-2)2-z
(z+2)(z-2)2-z
Simplify terms.
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Cancel the common factor of z-2 and 2-z.
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Factor -1 out of z.
(z+2)(-1(-z)-2)2-z
Rewrite -2 as -1(2).
(z+2)(-1(-z)-1(2))2-z
Factor -1 out of -1(-z)-1(2).
(z+2)(-1(-z+2))2-z
Reorder terms.
(z+2)⋅-1(-z+2)-z+2
Cancel the common factor.
(z+2)⋅-1(-z+2)-z+2
Divide (z+2)⋅-1 by 1.
(z+2)⋅-1
(z+2)⋅-1
Simplify by multiplying through.
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Apply the distributive property.
z⋅-1+2⋅-1
Simplify the expression.
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Move -1 to the left of z.
-1⋅z+2⋅-1
Multiply 2 by -1.
-1⋅z-2
-1⋅z-2
-1⋅z-2
Rewrite -1z as -z.
-z-2
-z-2
Simplify ((z^2-4)*1)/(2-z)

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