1] Reducing the Denominator: x + 1/m -m.
2] Factor the numerator.
You are not getting rplies because we do not understand your problem.
Do you mean
[(x+1)/m] - m
or do you mean
x + (1/m) - m
or what ?
x + (1/m) - m
Oh sorry it's not x + (1/m) - m but x + (1/x) - m
1] To reduce the denominator of the expression x + 1/m - m, we need to find a common denominator for all the terms. In this case, the common denominator would be m.
To achieve this, we need to multiply each term by m/m (which is equal to 1), so that the denominator becomes m.
x * m/m + 1/m * m/m - m * m/m
This simplifies to:
xm + 1 - m^2
Therefore, the expression with a reduced denominator is xm + 1 - m^2.
2] To factor the numerator (xm + 1 - m^2), we need to find factors that can be multiplied together to give us the original expression.
In this case, the numerator doesn't seem to have any common factors that can be factored further. So we can say that the numerator is already in its simplest factored form.
However, if you meant factoring the quadratic term m^2 in the expression, then we can factor it as follows:
(m + 1)(m - 1)
So, the factored form of the numerator becomes (m + 1)(m - 1). Therefore, the fully factored expression is (m + 1)(m - 1) / (xm + 1 - m^2).