Question

Which expression is equivalent to the expression 3(2h-6)?

a) 6h-6
b) 6h-18
c) 6h+6
d) 6h+18

Answer 1

The equivalent expression to 3(2h-6) is found by distributing the 3 across the terms in the parentheses, which yields 6h - 18, corresponding to option b).

Step-by-step explanation:

The student is asking which expression is equivalent to the expression 3(2h-6). To find the equivalent expression, you apply the distributive property of multiplication over subtraction, which involves multiplying 3 by each term inside the parentheses.

• Multiply 3 by 2h: 3 × 2h = 6h
• Multiply 3 by -6: 3 × -6 = -18

So, combining these results, the equivalent expression is 6h - 18, which corresponds to option b).