Investigating Monomials (pp. 1 of 4)

Investigating Monomials (pp. 2 of 4)
Algebra 2
HS Mathematics
Unit: 06 Lesson: 01
Simplifying Monomials
Multiplying
Sample:
2 3 4
(5x
y )(4xy
)
Expand: 5 x x y y y 4 x y y y y
Re-order: 5 4 x x x y y y y y y y
Simplify:
Dividing
Sample:
4 3
18x
y
2
6xy
Expand:
18 x x x x y y y
6 x y y
Simplify:
What’s the short-cut?
the coefficients
What’s the short-cut?
the coefficients
the exponents
the exponents
What’s the rule?
a
m a n
Note: Bases must be the same.
What’s the rule?
m
a
n
a
Note: Bases must be the same.
Other Rules
Samples
a
n
1
n
a
2
5
b =
b
3
4
x =
9
a m
n a mn
( 5
2 ) 3
(x 4 ) 5 =
(
b 2 ) 6 =
a
b
m
a
b
m
m
5 2
8
7
x
y
=
b
c
3
2
5
=
(
m m
ab)
a
b
m
2 2
(5 x ) 2 ) 6
2 4 3
(xy
( 4x
y )
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