a. 4 – commutative property
b. 5 – commutative property
c. 0 – identity property
d. 4 – associative property
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The commutative property lets you swap the order: (a) + (b) = (b) + (a).
The associative property lets you change the grouping: (a+b)+c = a+(b+c).
The identity property lets you add 0 without changing anything: (a) +0 = (a).
X = y + 2
( y + 2 ) + y = 6 -> 2y + 2 = 6
2y = 6-2
y = 2
X + 2 = 6
-> x = 4
Answer:
=1
The value of y varies directly with x, and y=1 when x=2.
(Distribute the minus sign of the subtrahend in each term.)
= 8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ + 5r³s⁶ + 4r⁵s⁴
(Add or subtract like terms.)
= 8r⁶s³ – 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶
(If you want to factor out, then...)
= r³s³ (8r³ – 5r²s + rs² + 5s³)
