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Divide and simplify,if possible

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2 Answers

((3x+12)/(4x-12))/(((x+4)^2)/((x-3)^2))
 
No Division by Zero Constraints: x ≠ 3, -4
 
Change division by fraction to multiplication by its reciprocal:
 
((3x+12)/(4x-12))*(((x-3)^2)/((x+4)^2))
 
Take out Greatest Common Factors:
 
(3(x+4)/(4(x-3)))*(((x-3)^2)/((x+4)^2))
 
Multiply Fractions:
 
(3(x+4)(x-3)^2)/(4(x-3)(x+4)^2)
 
Factor Common Factors out of Numerator and Denominator:
 
(3(x-3))/(4(x+4))*((x+4)/(x+4))*((x-3)/(x-3))
 
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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