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Divide and simplify,if possible

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2 Answers

No Division by Zero Constraints: x ≠ 3, -4
Change division by fraction to multiplication by its reciprocal:
Take out Greatest Common Factors:
Multiply Fractions:
Factor Common Factors out of Numerator and Denominator:
Iff x ≠ 3, -4 then ((x+4)/(x+4))*((x-3)/(x-3)) = 1; otherwise it's UNDEFINED.
["Iff" means "If and only if".]
(3(x-3))/(4(x+4))*1, x ≠ 3, -4
(3/4)*(x-3)/(x+4), x ≠ 3, -4

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