Question

Perform the indicated operations. Assume that no denominator has a value of 0.
y^2-9/4 • 8/y+3

Answer 1

To perform the indicated operations for the expression y^2-9/4 * 8/y+3, we can follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, we need to simplify the expression inside the parentheses:

y^2 - 9/4 * (8/(y+3))

Next, we need to simplify the expression inside the parentheses since it is enclosed in parentheses:

y^2 - 9/4 * (8/(y+3)) = y^2 - 18/(y+3)

Finally, we can simplify the expression further by multiplying (multiplication takes precedence over addition and subtraction):

y^2 - 18/(y+3) = (y^3(y+3) - 18)/4(y+3)

Thus, y^2-9/4 * 8/y+3 simplifies to (y^3(y+3) - 18)/4(y+3).