Question 127499
Given:
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{{{(2x + 6)/(4x^2 + 12x)}}}
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To simplify this, start with the numerator and factor 2 from each of its terms to get:
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{{{(2*(x + 3))/(4x^2 + 12x)}}}
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Next go to the denominator and factor 4x from each of its terms to change the problem to:
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{{{(2*(x + 3))/(4x*(x + 3))}}}
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Notice now that the term (x + 3) is common to the numerator and the denominator so it can be
canceled out as follows:
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{{{(2*(cross(x + 3)))/(4x*(cross(x + 3)))}}}
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and you are left with:
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{{{2/(4x)}}}
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But the 2 in the numerator divides into the 4 of the denominator 2 times. So this term
reduces to:
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{{{1/(2x)}}} 
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and this is the simplified form of what you were originally given.
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Hope this helps you to understand the problem.
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