shmoe said:Notice that 1-x^2 is a difference of squares.
dextercioby said:Put in the form:
[tex]\frac{(x+1)(x+3)(1-x)}{(x-1)(1-x)(1+x)(x+3)(x+3)} [/tex]
Is it clearer now??
Simplifying fractions of polynomials means reducing the fraction to its simplest form. This involves factoring both the numerator and denominator and canceling out any common factors.
Simplifying fractions of polynomials allows us to work with smaller and more manageable numbers and expressions. It also helps us to identify any common factors and make the overall expression easier to understand.
To simplify fractions of polynomials, first factor both the numerator and denominator. Then, cancel out any common factors between the two. Finally, simplify the resulting expression by multiplying out any remaining factors.
No, not all fractions of polynomials can be simplified. Some may already be in their simplest form, while others may not have any common factors to cancel out. It is important to always check if a fraction can be simplified before attempting to do so.
One common mistake is to not fully factor both the numerator and denominator before attempting to simplify. Another mistake is to cancel out factors that are not common between the numerator and denominator. It is also important to always simplify the resulting expression as much as possible.