VOCABULARY
When do we reduce?
Beginning or End
8xy + 4z
What is 4?
This reduces to: (4 + x) / (2 + x)
What is: itself
2/3 + 3/(5p + 6)
What is (10p +21) / (15p + 18)?
(6a + 6b) / 16a3b2 + (a+6b)/16a3b2
What is (7a +12b) / 16a3b2
When do we NOT reduce
Middle
8xy + 3x2z
What is x?
(4+3) / 12
What is 7/12
(x - 6) / (x+1) - 3 / (x - 3)
What is (x2 - 12x +15) / (x+1)(x-3)
OR
/ by x2 -2x -3
3x / 30y3 - 3x / 30y3
What is 0?
If we can't reduce, what else should we try?
factor!
7a2b3 - 21ab2
What is 7ab2
{4(3)} / 14
What is {2(3)} / 7 = 6/7
2y/4x + 2x/6
What is (3y + 2x2) / 6x?
3x/3 + 6x/5y
What is (5xy + 6x) / 5y
Can we reduce 12b - 4 / 8b
No, but you can factor then reduce
(10p -20) / 6p2 - 12p
What is 2?
(14x+10) / 20
Factor: 2(7x+5) / 20 = (7x+5) / 10
(n-4) / (3n2 - 21n + 18) + 5n/2n
What is (15n2 - 103n + 82) / (6n2 - 42n + 36)
6b / (b-5) - 5/(5(b+1)
What is (6b2 +5b - 5) / (b2 -4b -5)
The operation are we looking for to reduce and cross reduce
What is multiplication
(2p-2) / (2p2 - 6p + 4)
What is 2 and (p-1)?
The first step is: (40x2 + 16x) / 40x
The answer is:
What is: Factor first
{8x(5x+2)} / 40x = (5x+2) / 5
(a + 1) / (a2 -5a +6) - 6a/4
What is (-3a3 + 15a2 -16a + 2) / (2a2 - 10a +12)?
(p-6) / (9p2 -54p) - 5p