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Concept 2 Multiplying Binomials. Remember, FOIL reminds you to multiply the:. F irst terms O uter terms I nner terms L ast terms. Example 1:. (x + 2)( x – 4). +2x. -4x. - 2x. x 2. - 8 . Example 2:. (x - 5)( x – 7). -5x. -7x. - 12x. x 2. +35 . Example 3:. (a – 4b)( a + b).
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Remember, FOIL reminds you to multiply the: First terms Outer terms Inner terms Last terms
Example 1: (x + 2)( x – 4) +2x -4x - 2x x2 - 8
Example 2: (x - 5)( x – 7) -5x -7x - 12x x2 +35
Example 3: (a – 4b)( a + b) -4ab +ab - 3ab a2 -4b2
Example 4: (x – 4y)( x – 6y) -4xy -6xy x2 +24y2 - 10xy
Example 5: (2x + y)( 3x + 5y) +3xy 10xy +5y2 6x2 + 13xy
Example 6: (6x2 – 2y)( 3x2 –y) -6x2y -6x2y +2y2 18x4 - 12x2y
Extra Practice 1 (a – 4) (a + 3) a2 – a - 12
Extra Practice 2 (x + 2y) (x + 7y) x2 + 9xy + 14y2
Extra Practice 3 (3x + 5) (4x - 6) 12x2 + 2x -30