Final answer:
To find the equivalent expression for (2a + a)(3b + 1), use the distributive property. The correct equivalent expression is 3a + 9ab + a. The expression NOT equivalent to 2x + x - y + 3 + 5 is 2x^2 - y + 5 + 3.
Step-by-step explanation:
To find the equivalent expression for (2a + a)(3b + 1), we use the distributive property. We multiply each term in the first set of parentheses by each term in the second set of parentheses.
(2a + a)(3b + 1) = 2a * 3b + 2a * 1 + a * 3b + a * 1
Simplifying, we get 6ab + 2a + 3ab + a = 3a + 9ab + a.
The correct answer is option (a) 3a + 9ab + a.
To determine which expression is NOT equivalent to 2x + x - y + 3 + 5, we simplify each option:
a) x + x + x - y + 8 = 3x - y + 8
b) 3x - y + 8
c) 2x^2 - y + 5 + 3 = 2x^2 + 5 - y + 3 = 2x^2 - y + 8
d) x + 2x - y + 5 + 3 = 3x - y + 8
The expression that is NOT equivalent is option (c) 2x^2 - y + 5 + 3.