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 A. Commutative Property of Addition B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Associative Property of Multiplication C. Distributive Property A. Distributive Property B. Commutative Property of Multiplication C. Associative Property of Multiplication

Answer 1

Answer:

A. Commutative Property of Multiplication

B. Distributive Property

C. Associative Property of Multiplication

Step-by-step explanation:

Answer 2

The reasons A, B and C are:

• A. Commutative Property of Multiplication
• B. Distributive Property
• C. Associative Property of Multiplication

The equation is given as:

$\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =20l}$

First, we apply the commutative property of multiplication.

So, we have:

$\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =(4 \cdot 3)l + (4 \cdot 2)l }$

Next, apply the distributive property

$\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (3 + 2)l }$

Addition

$\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (5)l }$

By the associative property of multiplication, we have:

$\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot 5 \cdot l}$

$\mathbf{(4 \cdot 3) + (2 \cdot 4)l = 20l}$

Hence, the reasons A, B and C are:

• A. Commutative Property of Multiplication
• B. Distributive Property
• C. Associative Property of Multiplication

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