Question

1. (4p + 3)(2p + 1)

Explanation:

Step1: Apply FOIL method

Multiply first terms: $4p \times 2p = 8p^2$
Multiply outer terms: $4p \times 1 = 4p$
Multiply inner terms: $3 \times 2p = 6p$
Multiply last terms: $3 \times 1 = 3$

Step2: Combine like terms

$8p^2 + 4p + 6p + 3 = 8p^2 + 10p + 3$

Answer:

$8p^2 + 10p + 3$