Question

challenge problems:

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

1. $2(7 - 3x) + 6(3 + 2y) + 3y + 2$

Explanation:

Step1: Distribute coefficients (Q17)

$2(5x + 2y) + 3(2y + x) = 10x + 4y + 6y + 3x$

Step2: Combine like terms (Q17)

$10x + 3x + 4y + 6y = 13x + 10y$

Step3: Distribute coefficients (Q18)

$2(7 - 3x) + 6(3 + 2y) + 3y + 2 = 14 - 6x + 18 + 12y + 3y + 2$

Step4: Combine like terms (Q18)

$-6x + 12y + 3y + 14 + 18 + 2 = -6x + 15y + 34$

Answer:

1. $13x + 10y$
2. $-6x + 15y + 34$