5x^2-7xy+12y^2

_______________(OVER)
x^2+xy-20y^2

Please if anyone can help in the steps to answer this...i would be greatful.=)

What is a reflex angle

Are you sure you copied the question correctly?
If the top is 5x^2-17xy-12y^2 it works out really easily.
The way it stands, the top does not factor with integer values

To solve the given expression, you can simplify the rational expression by factoring both the numerator and the denominator. However, since the numerator does not factor nicely with integer values, it might be difficult to find a simplified form.

Here are the steps to simplify the expression:

1. Factor the numerator:
The given numerator is 5x^2 - 7xy + 12y^2. However, this expression cannot be factored using integer values. So, we cannot simplify the numerator any further.

2. Factor the denominator:
The given denominator is x^2 + xy - 20y^2. To factorize this expression, we need to find two numbers whose product is equal to the product of the coefficient of the square term (1) and the constant term (-20), and whose sum is equal to the coefficient of the linear term (1).

Since the product of 1 and -20 is -20, we need to find two numbers that multiply to give -20 and add up to 1. The numbers that satisfy these conditions are 5 and -4.

Therefore, we can factor the denominator as (x + 5y)(x - 4y).

3. Simplify the rational expression:
Now that we have factored both the numerator and the denominator, we can express the given rational expression in factored form:

(5x^2 - 7xy + 12y^2) / (x^2 + xy - 20y^2) = (5x^2 - 7xy + 12y^2) / [(x + 5y)(x - 4y)]

This is the simplified form of the given rational expression.