The difference of the rational expression below is 6x²- 5x + 15/x²-3x. The correct option is option B.
The Breakdown
The difference of the given rational expressions is calculated by finding a common denominator and subtracting the numerators. The common denominator of 6x/x-3 and 5/x is (x-3)x , or x²-3x . When we adjust the numerators to have this common denominator, we get 6x²/x²-3x and 5x-15/x²-3x. Subtracting these gives 6x²-5x+15/x²-3x.
What is Rational Expression?
A rational expression is a fraction in which both the numerator and the denominator are polynomials. It is an algebraic expression that represents a ratio of two polynomial expressions. The numerator and denominator can contain variables, constants, and arithmetic operations such as addition, subtraction, multiplication, and division.