Question

What expression is equivalent to 2(24x-18), 3(16x-12), 4(12x-9)

Answer 1

2(24x - 18) = 48x - 36

3(16x-12) = 48x - 36

4(12x - 9) = 48x - 36

Therefore, they all equal 48x - 36

Answer 2

Use the distributive property, which states:
a(b+c) = ab + ac
a(b-c) = ab - ac

2(24x - 18) = 2(24x) - 2(18) = 48x - 36

3(16x - 12) = 3(16x) - 3(12) = 48x - 36

4(12x - 9) = 4(12x) - 4(9) = 48x - 36


All of the expressions are equivalent to 48x - 36.