Question

multiply.
(2y + 5)(6y - 5)
simplify your answer.

Explanation:

Step1: Use the distributive property (FOIL method)

Multiply the First terms: \(2y \times 6y = 12y^2\)
Multiply the Outer terms: \(2y \times (-5) = -10y\)
Multiply the Inner terms: \(5 \times 6y = 30y\)
Multiply the Last terms: \(5 \times (-5) = -25\)

Step2: Combine like terms

Combine the middle terms: \(-10y + 30y = 20y\)
So the expression becomes \(12y^2 + 20y - 25\)

Answer:

\(12y^2 + 20y - 25\)