Question

multiply.
(5y + 3)(7y + 4)
simplify your answer.

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$5y \times 7y = 35y^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$5y \times 4 = 20y$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$3 \times 7y = 21y$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$3 \times 4 = 12$

Step5: Combine all terms

Sum the results from Steps 1-4:
$35y^2 + 20y + 21y + 12$

Step6: Combine like terms

Add the linear terms:
$35y^2 + (20y + 21y) + 12 = 35y^2 + 41y + 12$

Answer:

$35y^2 + 41y + 12$