Aaryan S.

asked • 11/25/16

(-6 + -1y)(3 + -1y)

(-6 + -1y)(3 + -1y)
how to find the product

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Al P. answered • 11/25/16

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(-6+ -1y)(3 + -1y)
= ((-6 + -1y)•3 + (-6 + -1y)•-1y)
= (-18 - 3y) + (6y + y2)
= y2 + 3y - 18
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Kenneth S.

How can you resist telling the student that F O I L  is the way to multiply two binomials??  It's a general method, and must be inculcated permanently into every Algebra's mind.
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11/25/16

Andrew M.

Personally, I find trying to explain FOIL needlessly tedious and confusing
to the student.  (a+b)(c+d) = ac + ad + bc + bd is more straight forward.
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11/25/16

David W.

This is F-O-I-L:
                       First-Outside-Inside-Last
  (a+b)(c+d) = ac   +   ad   +   bc + bd
 
First = leftmost term in each factor
Outside = far leftmost and far rightmost terms
Inside = internal terms
Last = rightmost term in each factor
 
Now, PLZ don't think that easy examples are worthless:     (2+3)(4+5) = 2*4+2*5+3*4+3*5
                                                                                   5*9 = 8+10+12+15
                                                                                     45 = 45
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11/26/16

Al P.

 
F.O.I.L. substitutes memorization for understanding.
 
 
(a+b)(c+d) = (c+d)a + (c+d)b = ac + ad + bc + bd    uses distributive rule, which is a fundamental concept
 
(a+b)(c+d+e) = (c+d+e)a + (c+d+e)b = ac + ad + ae + bc + bd+ be    — again, distributive rule
 
 
 
    
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11/26/16

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