SOLUTION: What is the quotient in simplest form? State any restrictions on the variable. (z^2-4/z-3) / (z+3/z^2+z-12)

Algebra ->  Test -> SOLUTION: What is the quotient in simplest form? State any restrictions on the variable. (z^2-4/z-3) / (z+3/z^2+z-12)      Log On


   



Question 706027: What is the quotient in simplest form? State any restrictions on the variable.
(z^2-4/z-3) / (z+3/z^2+z-12)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(z^2-4/z-3) / (z+3/z^2+z-12)
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[(z-2)(z+2)/(z-3)] / [(z+3)/((x+4)(x-3))]
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Invert the denominator and multiply:
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[(z-2)(z+2)/(z-3)] * [((z+4)(z-3)/(z+3))]
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Cancel (z-3) factors to get:
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[(z-2)(z+2)/1] * [((z+4)/(z+3))]
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= [(z-2)(z+2)(z+4)/(z+3)
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Restrictions:
z cannot be 3, -3
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Cheers,
Stan H.
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