Question

Simplify and reduce
3x^2-12/9x+18

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Answer 1

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`(3x^2-12)/(9x+18)\\\\ (3(x^2-4))/(9(x+2))\\\\ (3(x+2)(x-2))/(3.3(x+2))\\\\ \frac{\cancel{3(x+2)}(x-2)}{3.\cancel{3(x+2)}}\\\\(x-2)/(3)`

Answer 2

(x-2)/3

Explanation:

3x^2 -12

------------------

9x+18

Factor

3(x^2-4)

-------------

9(x+2)

Notice the numerator is the difference of squares

3(x-2)(x+2)

--------------------

3*3(x+2)

Canceling like terms

(x-2)

--------

3