mikaa_toxica13
Choose the correct simplification of the expression (−2x + 4y)(3x − 7y).
−6x^2 − 2xy − 28y^2
6x^2 + 26xy − 28y^2
−6x^2 + 26xy + 28y^2
−6x^2 + 26xy − 28y^2
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skullpatrol
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Any ideas?
skullpatrol
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What have you tried?
mikaa_toxica13
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i have no idea. and i jus went through something big so my mind isnt even on math right now.
skullpatrol
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Have you heard of the FOIL method?
mikaa_toxica13
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no sorry
skullpatrol
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What grade/age level are you?
mikaa_toxica13
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16/10
skullpatrol
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Anyway FOIL is a way to remember how to do these type of questions.
skullpatrol
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|dw:1359665572616:dw|
skullpatrol
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|dw:1359665830805:dw|
skullpatrol
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@mikaa_toxica13 Are you still there?
mikaa_toxica13
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yes sorry. im having some family drama right now.
skullpatrol
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I'm sorry to hear that, but I'm trying to teach you the FOIL method. Please stop me and ask any questions.
skullpatrol
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Each letter in the word FOIL stands for one step in the method.
mikaa_toxica13
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okay no problem.
skullpatrol
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I just showed what the "F" in FOIL means. Did you follow that?
mikaa_toxica13
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i think so
skullpatrol
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Are you unsure at all?
mikaa_toxica13
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not too sure what a binomial is
mikaa_toxica13
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i have to get off for a few minutes. but u can continue to explain and i will write back when im back online. if u want.
skullpatrol
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The word "binomial" comes from the two parts: "bi" which means two because it has two terms like (a +b) and "nomial" which means name or just term.
skullpatrol
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(−2x + 4y)(3x − 7y)
multiply the First terms of the binomials
(-2x)(3x) = -6x^2
skullpatrol
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(-2x + 4y) is a binomial and (3x -7y) is a binomial,
so the FOIL method works when you are multiplying two binomials.
Recall each of -2x, 4y, 3x, and -7y are called terms, right?
skullpatrol
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|dw:1359668344081:dw|
skullpatrol
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|dw:1359668671831:dw|
skullpatrol
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multiply the first term of each binomial by the last term of the other and add these products:
"O" stands for Outer terms and "I" stands for inner terms
skullpatrol
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The last letter in the word "FOIL" is L and it stands for multiply the Last terms of the binomials.
skullpatrol
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|dw:1359669193650:dw|
skullpatrol
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You can put all the letters together and get the answer now.
Good luck with your studies.