I need to simplify a rational expression.
2xsquared+11x-6/x+6
how do i solve two step equations
the equation that passes through the given point and is parellel to the point (2,-3);2x+y=5
To simplify a rational expression, you need to simplify both the numerator and the denominator separately, then combine them back together.
Let's start with simplifying the numerator, which is 2x^2 + 11x - 6.
First, factor the quadratic expression to see if it can be simplified:
2x^2 + 11x - 6 = (2x - 1)(x + 6)
Now, let's simplify the denominator, which is x + 6.
Since the denominator is already in its simplest form, we can leave it as it is.
Now, we can rewrite the rational expression with the simplified numerator and denominator:
(2x - 1)(x + 6) / (x + 6)
Notice that (x + 6) appears in both the numerator and denominator. We can cancel out these common factors:
(2x - 1)(cancel(x + 6)) / cancel(x + 6)
After canceling out the common factor, we are left with the simplified rational expression:
2x - 1