Like Terms
What is the definition of like terms?
Terms that have the same variables and powers (exponents).
(4 + 2n3) + (5n3 + 2)
7n3 + 6
(5a + 4) - (5a + 3)
7(-5v - 8)
-35v - 56
(m2 - 7m - 11) / (m-8)
m + 1 - 3/m-8
How many groups of like terms are there?
8x5 + 9x4 + 5x
None
(5p2 - 3) + (2p2 - 3p3)
7p2-3p3-3
(4n - 3n3) - (3n3 + 4n)
-6n3
(4n + 1)(2n + 6)
8n2 +26n + 6
(r2 + 14r + 38) / (r + 8)
r + 6 - 10/r+8
When we add two like terms together, the variable stays the same but the _______ changes.
Coefficient or exponent?
Coefficient
Ex: x2 + x2 = 2x2
(13n2 + 11n - 2n4) + (-13n2 - 3n - 6n4)
-8n4 + 8n
(3 - 6n5 - 8n4) - (-6n4 - 3n - 8n5)
2n5 - 2n4 +3n + 3
(4a + 2)(6a2 - a + 2)
24a3 + 8a2 + 6a + 4
(a2 - 28) / (a-5)
a + 5 - 3/a-5
Simplify the expression
n + 4 - 9 - 5n
-4n - 5
(-x4 + 13x5 + 6x3) + (6x3 + 5x5 + 7x4)
18x5 + 6x4 + 12x3
(3v5 + 8v3 - 10v2) - (-12v5 + 4v3 + 14v2)
15v5 + 4v3 - 24v2
(n2 + 6n - 4)(2n - 4)
2n3 + 8n2 - 32n + 16
(x2 - 74) / (x - 8)
x + 8 - 10/x-8
-5n + 3(6 + 7n)
16n + 18
(-7x5 + 14 - 2x) + (10x4 + 7x + 5x5)
-2x5 + 10x4 + 5x + 14
(8b3 - 6 + 3b4) - (b4 - 7b3 - 3)
2b4 + 15b3 - 3
(m2 - 7m - 6)(7m2 - 3m - 7)
7m4 - 52m3 - 28m2 + 67m + 42
(50k3 + 10k2 - 35k - 7) / (5k - 4)
10k2 + 10k + 1 - 3/5k-4