Question

multiply.
(x - 8y)(x - 5y)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(x \cdot x = x^2\)
Multiply the Outer terms: \(x \cdot (-5y) = -5xy\)
Multiply the Inner terms: \(-8y \cdot x = -8xy\)
Multiply the Last terms: \(-8y \cdot (-5y) = 40y^2\)
So, \((x - 8y)(x - 5y)=x^2-5xy - 8xy+40y^2\)

Step2: Combine like terms

Combine the middle terms \(-5xy\) and \(-8xy\): \(-5xy-8xy=-13xy\)
So the simplified form is \(x^2 - 13xy + 40y^2\)

Answer:

\(x^2 - 13xy + 40y^2\)