I have to answer this question but I never learned how to foil using 3 terms :S
This is the question : (2x+5)(3x-2)=(x+1)
This is the question : (2x+5)(3x-2)=(x+1)
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FOIL is just a handy way to keep track of multiplying a couple of binomials.
What you are really doing is just applying the distribute law to the product of two sums.
If you have (a + b + c)(D + E) just apply each term in the first to each term in the second:
(a + b + c)(D + E) =
aD + aE + bD + bE + cD + dE.
You are multiplying 3 terms by 2 terms. Just make sure you end up with 3x2 = 6 terms.
If you keep track of what you've multiplied, and take it carefully in order, you won't need to rely on a crutch like FOIL, which just does the tracking for you: first terms, outer terms, inner tems, last terms just makes sure you hit all the combinations. It's not a sophisticated mathematical formula, so you don't need a complicated extension of it to handle 3x2 terms.
Your statement "I never learned how to foil using 3 terms" tells me that your teacher just taught you a mechanical rule without explaining what it was about or why it worked, so a little complication like adding another term leaves you confused. Shame on your teacher.
What you are really doing is just applying the distribute law to the product of two sums.
If you have (a + b + c)(D + E) just apply each term in the first to each term in the second:
(a + b + c)(D + E) =
aD + aE + bD + bE + cD + dE.
You are multiplying 3 terms by 2 terms. Just make sure you end up with 3x2 = 6 terms.
If you keep track of what you've multiplied, and take it carefully in order, you won't need to rely on a crutch like FOIL, which just does the tracking for you: first terms, outer terms, inner tems, last terms just makes sure you hit all the combinations. It's not a sophisticated mathematical formula, so you don't need a complicated extension of it to handle 3x2 terms.
Your statement "I never learned how to foil using 3 terms" tells me that your teacher just taught you a mechanical rule without explaining what it was about or why it worked, so a little complication like adding another term leaves you confused. Shame on your teacher.
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You need to foil two terms first, then foil the other one in