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Multiplying Binomials

Expand and Simplify

F  irst

O utside

I   nside

L  ast

 

 

  (3y+2)(4y+1)

 

=12y^2 + 3y + 8y +2

=12y^2 + 11y + 2

Special Cases

Example 1:

 

 (6x - 7) ^2 

= (6x - 7) (6x - 7)

= 36x^2 - 42x - 42x + 49    [the middle terms will always be the same]

= 36x^2 - 84x + 49

 

Example 2:

 

 (2x + 5) (2x - 5)

= 4x^2 - 10x + 10x - 25

= 4x^2 - 25

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