Question

multiply.
(5x + 1)(7x + 6)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(5x \times 7x = 35x^2\)
Multiply the Outer terms: \(5x \times 6 = 30x\)
Multiply the Inner terms: \(1 \times 7x = 7x\)
Multiply the Last terms: \(1 \times 6 = 6\)

Step2: Combine like terms

Add the outer and inner terms: \(30x + 7x = 37x\)
Combine all terms: \(35x^2 + 37x + 6\)

Answer:

\(35x^2 + 37x + 6\)