Answer:
Step 1
Step-by-step explanation:
Associative property of addition is The order of the parentheses. There are no parentheses is this problem. We are using the commutative property of addition which states we can change the order of the addends
Answer:

Step-by-step explanation:
We want to to rewrite

Use difference of two squares to get:

This implies that:


This finally simplifies to:

Therefore the required product is

Answer:
P ( -1, -3)
Step-by-step explanation:
Given ratio is AP : PB = 3 : 2 = m : n and points A(5,6) B(-5,-9)
We will calculate coordinates of the point P which divides line segment AB in the following way:
xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1
xp = -1
yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3
yp = -3
Point P( -1, -3)