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How do you use the foil method the find the product of two binomials?
Wiki User
∙ 13y ago
- First ("first" terms of each binomial are multiplied together)
- Outer ("outside" terms are multiplied-that is, the first term of the first binomial and the second term of the second)
- Inner ("inside" terms are multiplied-second term of the first binomial and first term of the second)
- Last ("last" terms of each binomial are multiplied)
The general form is: (A+B)(C+D) = AC + AD + BC + BD
Where AC is the first, AD is the outer, BC is the inner, and BD is the last.So:
(X+4)(X-5)
= X^2 - 5X + 4X - 20
= X^2 - 1X - 20
Wiki User
∙ 13y ago
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FOIL is a method that uses a pattern to simplify multiplying two together?
binomials
Is a method that uses a pattern to simplify multiplying two binomials together?
Foil
What are your strengths in math?
-FOIL Method -Special Products -Geometry It's depends on you :)
What does a formula start with?
it usually starts with x=.... ex: for foil method , which is (a+b)2 would be x=a2+2ab+b2
What are the steps in squaring a binomials?
Squaring a binomial is just a mater of taking the binomial times itself, for example(a+b)2=(a+b)*(a+b)Here you apply FOIL technique, meaning: First, Outer, Inner and Last -- see below(a*a)+(a*b)+(b*a)+(b*b)Observing that (a*b)=(b*a) in alegbra the above equation can be rewritten as:a2+2ab+b2yeah!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!thank you for watching wowowee@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ the "F.O.I.L" way is the best solution and the easiest!
Why do you use the foil method?
To find the factor of 2 binomials
Why is the FOIL method not needed when multiplying two binomials?
It is only not needed if you know of another method. If FOIL is the only way you know to multiply two binomials, then it is definitely needed.
The foil method is used for?
The foil method in algebra is used to "multiply linear binomials."The FOIL method is used in elementary algebra as a guide for solving algebraic problems.
FOIL is a method that uses a pattern to simplify multiplying two together?
binomials
Is a method that uses a pattern to simplify multiplying two binomials together?
Foil
FOIL is a method that uses a pattern to simplify two binomials together?
multiplying
Does the FOIL system work for any 2 binomials?
does the FOIL system work for any binomials
How do you multiply binomials?
You use the FOIL method. First terms Outer terms Inner terms Last terms.
How do you use algebra tiles to multiply two binomials?
Explain how I would use algebra times to multiply two binomials (FOIL)?
How do you multiply two bionomials?
ONE WORD...FOIL. The FOIL method is a way to multiply binomials. "FOIL" is an acronym to remember a set of rules to perform this multiplication. To FOIL you multiply together all of the following: * F: Firsts * O: Outers * I: Inners * L: Lasts and then you add each of these products as demonstrated in the examples below. Let's take two arbitrary binomials. (x+a)(x+b) First: x^2 Outers: bx Inners: ax Last: ab So the product of these two binomials is x^2+bx+ax+ab Which we can simplify as x^2+x(a+b)+ab This is NOT the only way, another way is as below: (x+a)(x+b) Start with the x in x+a and multiply it by both terms in x+b so we have x^2+xb Now do the same with the a in x+a and we have ax+ab Add these all together and you have the same result as you did with the foil method. So why not just use foil? Why have two methods when one is plenty? GOOD QUESTION! The second method can be generalized to trinomials or any other types of polynomial multiplication and the FOIL method can't be.
What is a memory aid to remember how to multiply two binomials?
In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials-hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product:First ("first" terms of each binomial are multiplied together)Outer ("outside" terms are multiplied-that is, the first term of the first binomial and the second term of the second)Inner ("inside" terms are multiplied-second term of the first binomial and first term of the second)Last ("last" terms of each binomial are multiplied)The general form is:Note that is both a "first" term and an "outer" term; is both a "last" and "inner" term, and so forth. The order of the four terms in the sum is not important, and need not match the order of the letters in the word FOIL.The FOIL method is a special case of a more general method for multiplying algebraic expressions using the distributive law. The word FOIL was originally intended solely as a mnemonic for high-school students learning algebra, but many students and educators in the United States now use the word "foil" as a verb meaning "to expand the product of two binomials". This neologism has not gained widespread acceptance in the mathematical community.
How do you write two binomials whose product is a difference of squares?
The two binomials can be written as (x - a)(x + a), for any constant a. Proof: Expand using FOIL: (x - a)(x + a) = x2 + xa - xa - a2 Group: (x - a)(x + a) = x2 - a2 x2 - a2 is a difference of squares. Thus, the product of (x - a) and (x + a) is a difference of squares.
