Indicate which property is illustrated in Step 5.

Step 1 12x + 4 + 5x + 5 = (12x + 4) + (5x + 5)
Step 2 = 12x + (4 + 5x) + 5
Step 3 = 12x + (5x + 4) + 5
Step 4 = (12x + 5x) + (4 + 5)
Step 5 = (12 + 5)x + (4 + 5)
Step 6 = 17x + 9

A. associative
B. distributive
C. arithmetic fact
D. commutative

Question

Indicate which property is illustrated in Step 5.

Step 1	12x + 4 + 5x + 5	=	(12x + 4) + (5x + 5)
Step 2		=	12x + (4 + 5x) + 5
Step 3		=	12x + (5x + 4) + 5
Step 4		=	(12x + 5x) + (4 + 5)
Step 5		=	(12 + 5)x + (4 + 5)
Step 6		=	17x + 9

	A. 	 associative
	B. 	 distributive
	C. 	 arithmetic fact
	D. 	 commutative

anonymous · Answer

step 5 is factoring as far as i can understand. and i know that factoring is the reverse of distributive property. so it is B i guess?

anonymous · Answer

Thanks