Reducing to the Least Common Denominator:
x + 1/m -m.
X/1 + 1/m - m.
mx/m + 1/m - m^2/m.
after this u know how factor the numerator ?
Oh sorry it's not x + (1/m) - m but x + (1/x) - m
To reduce the given expression to the least common denominator, we need to find the common denominator for the terms involving x, 1/m, and -m.
1. Start by finding the common denominator for the terms involving x and -m. Since there are no common factors between x and -m, the common denominator will be simply x*(-m) = -xm.
2. Now, let's consider the term 1/m. Since the common denominator already includes x, we just need to make sure that it also includes m. Therefore, the common denominator for 1/m is -xm.
3. Now, we have the common denominator -xm for all the terms. We can rewrite the expression using this common denominator:
x + 1/m - m = (x*(-m))/(-xm) + (1/m)*(-xm)/(-xm) - (m*(-xm))/(-xm)
Simplifying the fractions:
= -xm/xm + (-x^2m)/(xm) + x^2m/xm
= (-xm - x^2m + x^2m)/(xm)
= -xm/(xm)
= -1
Therefore, the reduced expression is -1.