Question

1. $3(4x + 2y + 5) + 4(x + 3y + 2)$

Explanation:

Step1: Expand the first expression

$3(4x + 2y + 5) = 12x + 6y + 15$; $4(x + 3y + 2) = 4x + 12y + 8$

Step2: Combine like terms for first expression

$(12x + 4x) + (6y + 12y) + (15 + 8) = 16x + 18y + 23$

Step3: Expand the second expression

$3(5x + 4y + 3) = 15x + 12y + 9$; $3(2x + y + 6) = 6x + 3y + 18$

Step4: Combine like terms for second expression

$(15x + 6x) + (12y + 3y) + (9 + 18) = 21x + 15y + 27$

Answer:

16x + 18y + 23
21x + 15y + 27