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)
= 10x² + 12x - 5x -6 (add like terms)
= 10x² + 7x - 6

3) (8x - 3)( 9x -2)

Solution :
= (8x . 9x)+ (8x . -2)+ (-3 . 9x) + (-3 . -2)
= 72x² - 16x - 27x + 6
=72x² - 43x + 6

4) (y + 2) ( y - 2)

Solution :
= (y . y)+ (7 . -2)+ (2 . y)+ (2 . -2)
= y² + 2y - 2y - 4
= y² + 0 - 4
= y² - 4

5) (x² + 5)(x² + 10)

Solution :
= (x² . x²)+ (x² . 10)+ (5 . x²)+ (5 . 10)
= x^{2 + 2} + 10x² + 5x² + 50
= x⁴ + 15x² + 50

6) (2x² + 8)(x² - 7)

Solution :
= (2x² . x²)+ (2x² . (-7)+ (8 . x²)+ (8 . (-7)
= 2x^{2 + 2} - 14x² + 8x² -56
= 2x⁴- 6x² - 56
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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)

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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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