Lesson 79
Mr. Jones
Trigonometry CC
Name: _________________________
Date: _______________________
S.W.B.A.T: Factor the sum and difference of two cubes.
Do Now: Factor each polynomial.
a) 9x2 – 64
b) x3 – 27
To factor the sum or difference of cubes:
A3 +B3 = (A + B)(A2 – AB + B2)
A3 – B3 = (A – B)(A2 + AB + B2)
To remember:
Same
Opposite
Always Positive
Example 1: Factor each of following cubes.
a)
m3 + 8
SOAP
b) 64x3 + 125
c)
y3 + 216
Exercise 1: Factor each of following cubes.
a)
x3 + 1
b) 64x3 + 27
c) 8x3 + 125
Example 2: Factor each of following cubes.
a) c3 - 1000
b) 125x3 – 27
Exercise 2: Factor each of following cubes.
a) x3 - 64
b) 8x3 – 1
c) 64x3 - 243
EXIT:
1) Factor completely.
16x3 - 432
2) Simplify the following expression:
x(x-8) – 2x(x – 3)
Lesson 79
Mr. Jones
Homework
Factor each.
Trigonometry CC
Name: _________________________
Date: _______________________