Question

Write an expression that is equivalent to 6(x+2y)+8y

Answer 1

(2 (3 x + 10 y))

Explanation:

Simplify the following:

6 (2 y + x) + 8 y

6 (2 y + x) = 6 x + 12 y:

(6 x + 12 y) + 8 y

Grouping like terms, 6 x + 12 y + 8 y = (12 y + 8 y) + 6 x:

(12 y + 8 y) + 6 x

12 y + 8 y = 20 y:

20 y + 6 x

Factor 2 out of 20 y + 6 x:

Answer: (2 (3 x + 10 y))