Question

Identify Properties Used in

each step in re-writing
the polynomial
expression below.
(x+5)+3 (a +(6x) y)+ (x+5)
Step 1:3(a+ 16x) y) + (x+5)
Step 2:3(a +y(16x)) + (x+5)
Step 3:3a+ y 18x + (x+5)

Answer 1

The question is:

Identify properties used in each step in rewriting the polynomial expression below:

• (x + 5) + 3(a + (6x)y)

Step 1: (5 + x) + 3(a + (6x)y)

Step 2: 5 + (x + 3(a + (6x)y)

Step 3: 5 + (x + 3a + (18x)y)

Step 4: 5 + (x + 3a +18xy)

Answer:

See below

Step-by-step explanation:

Step Property and its explanation

Step 1:

`(5+x)+3(a+(6x)y)` Given: this is just the starting expression

Step 2:

`5+(x+3(a+(6x)y)` Associative property of addition:

the variable x was associated with the

expression to its right

Step 3:

`5+(x+3a+(18x)y)` Distributive property of multiplication over

addtition: the number 3 was multiplied by

each term inside to the parenthesis

Step 4:

`5+ (x+3a+18xy)` Simplification: the product (18x)y was

solved