Question

PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answer 1

Line-1 to Line 2- Commutative property of multiplication

Line-2 to Line-3 =Commutative property of addition

Lets solve

`\\ \rm\longmapsto (9+x)x`

`\\ \rm\longmapsto x(9+x)`

`\\ \rm\longmapsto x(x+9)`

`\\ \rm\longmapsto x^2+9x`

Answer 2

Line 1: (9+x)x

Line 2: x(9 + x)

The order of multiplies changed.

This is called a Commutative Property of Multiplication.

• ab = ba or
• (9 + x)x = x(9 + x)

Line 3: x(x+9)

The order of added terms within parenthesis changed.

This is called a Commutative Property of Addition.

• a + b = b + a
• 9 + x = x + 9