Question

what is the product of the binomials (4a - 1) and (2b + 3)?\\(\bigcirc\\) 18ab - 3\\(\bigcirc\\) 8a²b² + 10ab - 3\\(\bigcirc\\) 6ab + 7a - 2b - 3\\(\bigcirc\\) 8ab + 12a - 2b - 3

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(4a - 1)(2b + 3) = 4a \times 2b + 4a \times 3 - 1 \times 2b - 1 \times 3$

Step2: Calculate each product

$4a \times 2b = 8ab$, $4a \times 3 = 12a$, $-1 \times 2b = -2b$, $-1 \times 3 = -3$

Step3: Combine like terms

Combine the calculated terms: $8ab + 12a - 2b - 3$

Answer:

$8ab + 12a - 2b - 3$ (corresponding to the option "8ab + 12a - 2b - 3")