Question

1. (a + b)(2a + 3b)(2x - y)

Explanation:

Step1: Multiply first two binomials

First expand $(a+b)(2a+3b)$ using distributive property:
$$(a+b)(2a+3b) = a(2a+3b) + b(2a+3b) = 2a^2 + 3ab + 2ab + 3b^2$$
Combine like terms:
$$2a^2 + 5ab + 3b^2$$

Step2: Multiply by the third binomial

Multiply $(2a^2 + 5ab + 3b^2)(2x - y)$ by distributing each term:
$$2a^2(2x - y) + 5ab(2x - y) + 3b^2(2x - y)$$
Expand each term:
$$4a^2x - 2a^2y + 10abx - 5aby + 6b^2x - 3b^2y$$

Answer:

$4a^2x - 2a^2y + 10abx - 5aby + 6b^2x - 3b^2y$