Question

Identify Properties Used in

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

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