Question

Applying the distributive property to the expression, 24x+18y will produce which equivalent expression.

1. 6(4+3y)
2. 6(4x+3y)
3. 3xy(8+6)
4. 3(8x+6y)

Answer 1

6(4x + 2y)

Explanation:

24x = 2 * 2 * 2 * 3 * x

18y = 2 * 3* 3 * y

Common factors = 2 * 3 = 6

24x + 18y = (6*4x) + (6*2y) {6 is common in both terms}

= 6*(4x + 2y)