How do you simplify the rational expression: #(x+2)/(4x8)(3x9)/(x+4)(2x21)/(x^2x6)#?
The idea is to factor out numbers is the firstdegree polynomial (if possible), and to factor the highestdegree, finding their roots (if possible). So, let's work separately on the three pieces:
Writing back the whole expression with this changes gives
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To simplify the rational expression (x+2)/(4x8)(3x9)/(x+4)(2x21)/(x^2x6), you can follow these steps:

Factor all the denominators and numerators: (x+2)/(4x8)(3x9)/(x+4)(2x21)/(x^2x6) = (x+2)/(4(x2))(3(x3))/(x+4)(2(x7))/((x3)(x+2))

Cancel out any common factors between the numerators and denominators: = 1/(4(x2))(1)/(x+4)(2(x7))/((x3)(1)) = 1/(4(x2))/(x+4)(2(x7))/(x3)

Multiply the remaining factors together: = 1/(4(x2)(x+4)(2(x7))/(x3)
Therefore, the simplified form of the rational expression is 1/(4(x2)(x+4)(2(x7))/(x3).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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