which expression is not equivalent to 6(6 + h)? a} 36 + 6h b} 6h + 36 c} h(6 + 6) d} 3(12 + 2h)

which expression is not equivalent to 6(6 + h)? a} 36 + 6h b} 6h + 36 c} h(6 + 6) d} 3(12 + 2h)

which expression is not equivalent to 6(6 + h)? a} 36 + 6h b} 6h + 36 c} h(6 + 6) d} 3(12 + 2h)

Answer

Explanation:

Step1: Expand 6(6 + h)

Using distributive property (a(b + c)=ab+ac), we have (6\times6+6\times h = 36 + 6h).

Step2: Analyze option a

(36 + 6h) is equivalent to the expanded form of (6(6 + h)).

Step3: Analyze option b

(6h+36) is the same as (36 + 6h) due to the commutative property of addition, so it is equivalent.

Step4: Analyze option c

(h(6 + 6)=h\times12 = 12h), which is not equivalent to (36 + 6h).

Step5: Analyze option d

Expand (3(12 + 2h)) using distributive property: (3\times12+3\times2h=36 + 6h), so it is equivalent.

Answer:

c. (h(6 + 6))