difference of perfect squares
Factor: x2 - 4
(x + 2)(x - 2)
When factoring a problem like this (a3 - b3), what does the acronym SOAP stand for?
same, opposite, always positive
Factor: x2 + 5x + 6
(x + 2)(x + 3)
What does GCF stand for?
Greatest common factor
What does FOIL stand for?
First, Outer, Inner, Last
Factor: x2 - 121
(x + 11)(x - 11)
Factor: x3 + 8
(x + 2) (x2 - 2x + 4)
Factor: x2 + 14x + 49
(x + 7)2 OR (x + 7)(x + 7)
Factor: 6x2 + 3x
3x (2x + 1)
Multiply: (x + 3)(x + 7)
x2 + 10x + 21
Factor: 100 - x2
(10 + x)(10 - x)
Factor: x3 - 125
(x + 5)(x2 - 5x + 25)
Factor: x2 + 3x - 10
(x - 2) (x + 5)
Factor: 16x2 – 12x
4x (4x - 3)
Multiply: (2x - 6)(x - 4)
2x2 - 14x + 24
Factor: 16x2 - 25
(4x + 5)(4x - 5)
Factor: 8x3 – 27
(2x - 3) (4x2 + 6x + 9)
Factor: x2 − 10x + 24
(x − 4)(x − 6)
Factor: 12x5 – 18x3 – 3x2
3x2 (4x3 - 6x - 1)
Multiply: (5x – 3)(2x + 7)
10x2 + 29x - 21
Factor: 49x2 - 36y2
Factor: 27x3 + 125y3
(3x + 5y) (9x2 − 15xy + 25y2)
Factor: 5x2 − 17x + 6
(5x − 2)(x − 3)
Factor: 15x3y2 + 10x2y4
5x2y2 (3x + 2y2)
Multiply: (6x + 5y)(2x + 3y)
12x2 + 28xy + 15y2