Introduction to Rational Functions Simplify x2 18x2 8x Int

Introduction to Rational Functions Simplify. x^2 - 1/8x^2 + 8x Introduction to Rational Functions Simplify. (If the expression is already in simplest form, enter SIMPLEST FORM.) 2x^3 y^3 - 14 x^2 y^2 + 4xy/2xy Operations on Rational Expressions Add. 2y - 9/5xy^2 + 4 - 2x/10x^2 y

Solution

(1) (x² - 1)/(8x² + 8x)

Using the formula and taking common 8x from the denominator:

= (x + 1)(x - 1)/ 8x (x +1)

= (x - 1)/8x

(2) (2x³y³ - 14x²y² + 4xy) / 2xy

Taking common 2xy from the numerator, we get:

= 2xy (x²y² - 7xy + 2) / 2xy

= x²y² - 7xy + 2

(3) (2y -9)/5xy² + (4 - 2x)/10x²y

Taking LCM as 10x²y², we get:

= (4xy - 18x + 4y - 2xy)/ 10x²y²

= (2xy - 18x + 4y) / 10x²y²

= (xy - 9x + 2y)/ 5x²y²