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how to simplify x^2+3x+2/x+2 find restrictions and simplfy.......... next...
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High School Teacher
(1) Simplify `(x^2+3x+2)/(x+2)` :
`(x^2+3x+2)/(x+2)=((x+2)(x+1))/(x+2)` Factor the numerator
`=x+1` Cancel the common term
Thus `(x^2+3x+2)/(x+2)=x+1` for `x!=-2` (Note that the restriction is required as x=-2 is not in the domain of the given expression)
(2) Simplify `5/(6 x^2y)-7/(6xy^3)` :
First we find the least common denominator:
To find the least common denominator we find the product of the common factors as well as the factors not in common; here the LCD is `2*3*x*y*x*y*y=6x^2y^3` (A simple way is to find the LCM of the numeric part, and then keep the highest power of each variable)
To simplify we add the fractions:
Posted by embizze on March 19, 2012 at 9:44 AM (Answer #1)
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