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)

Question

Mathematics

Hope Hooper

8 April, 04:47

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)

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Champ · Answer 1

In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x

In step 2, the associative property of addition is used since x is grouped to the last term.

In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis.

In step 4, multiplication is done.