Multiplication of Binomial by Binomial
Multiplication of Binomial by Binomial, we use a
FOIL method.
F = First terms
O = Outer terms
I = Inner terms
L = Last terms
Example:
1)
2) (2x -1)(5x +6)
Solution :
= (2x
. 5x)+ (2x
. 6) + (-1
. 5x)+ (-1
. 6)
= 10x
2 + 12x - 5x -6
(add like terms)
= 10x
2 + 7x - 6
3) (8x - 3)( 9x -2)
Solution :
= (8x
. 9x)+ (8x
. -2)+ (-3
. 9x) + (-3
. -2)
= 72x
2 - 16x - 27x + 6
=72x
2 - 43x + 6
4) (y + 2) ( y - 2)
Solution :
= (y
. y)+ (7
. -2)+ (2
. y)+ (2
. -2)
= y
2 + 2y - 2y - 4
= y
2 + 0 - 4
= y
2 - 4
5) (x
2 + 5)(x
2 + 10)
Solution :
= (x
2 . x
2)+ (x
2 . 10)+ (5
. x
2)+ (5
. 10)
= x
2 + 2 + 10x2 + 5x2 + 50
= x
4 + 15x
2 + 50
6) (2x
2 + 8)(x
2 - 7)
Solution :
= (2x
2 . x
2)+ (2x
2 . (-7)+ (8
. x
2)+ (8
. (-7)
= 2x
2 + 2 - 14x2 + 8x2 -56
= 2x
4- 6x
2 - 56
____________________________________________________________________
Practice
1) (4x + 2) (2x - 4)
2) (x + 2) (x - 2)
3) (2a - 6) (a - 4)
4) (5b + 2) (3a + 4)
5) (-2a + 2) (3a + 9)
Multiplication of algebraic expressions
• Multiplication of Monomial by Binomial
• Multiplication of Binomial by Binomial
• Multiplication of Polynomial by Monomial
• Multiplication of Polynomial by Binomial
Algebraic Expressions page
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