Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \((-2b)(-5b) = 10b^2\)
Multiply the Outer terms: \((-2b)(-6) = 12b\)
Multiply the Inner terms: \((5)(-5b) = -25b\)
Multiply the Last terms: \((5)(-6) = -30\)
So we have \(10b^2 + 12b - 25b - 30\)

Step2: Combine like terms

Combine the \(b\) terms: \(12b - 25b = -13b\)
So the simplified expression is \(10b^2 - 13b - 30\)

Answer:

\(10b^2 - 13b - 30\)