Question

What are reasons A, B, and C in the proof?

Prove: (4 · 3)l + (2 · 4)l = 20l

Statements Reasons
(4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________
= 4(3l + 2l) B. _________________
= 4(5l) Addition
= (4 · 5)l C. _________________
= 20l Multiplication

Answer 1

A. Commutative property

B. Associative and distributive properties.

C. Associative property.

Explanation:

We proceed to present which reason are utilized by supporting procedure:

1)
`(4\cdot 3) \cdot i +(2\cdot 4)\cdot i` Given

2)
`(4\cdot 3)\cdot i +(4\cdot 2)\cdot i` A. Commutative property

3)
`4\cdot (3\cdot i+2\cdot i)` B. Associative and distributive properties.

4)
`4\cdot (5\cdot i)` Addition.

5)
`(4\cdot 5)\cdot i` C. Associative property.

6)
`20\cdot i` Multiplication/Result.