Question

Simplify -%2012%20%7D%20" id="TexFormula1" title=" \frac{x^{2} + 12x + 36 }{x^{2} + 4x - 12 } " alt=" \frac{x^{2} + 12x + 36 }{x^{2} + 4x - 12 } " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

 x + 6

-----------      for all x EXCEPT x = -6

  x + 2

Step-by-step explanation:

Note that the numerator, x^2 + 12 x + 36, factors into (x + 6)^2, and that

the denominator factors into (x + 6)(x - 2).

Thus, the given expression reduces to:

  (x + 6)(x + 6)

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

  (x + 6)(x + 2)

and can be reduced to:

 x + 6

-----------         This is true for all x EXCEPT x = -6.  At x = -6, the expression

  x + 2            is not defined.

Answer 2

Answer:

(x-2)/(2x+8)

Step-by-step explanation:

The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression

Factor out 2 from the expression

Write 2x as a difference

Factor out x from the expression

Factor out -2 from the expression

Factor out x + 4 from the expression

Reduce the fraction with x - 2

Finally,, distribute 2 through the parenthesis to find your answer

This means that the correct answer to your question is (x-2)/(2x+8)