Q: FOIL is a method that uses a pattern to simplify two binomials together?

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Foil

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.

To find the factor of 2 binomials

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.

You use the FOIL method. First terms Outer terms Inner terms Last terms.

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.

You can not increase a "Method". A method is a way of doing something. You could change your method, improve your method, simplify tour method, but NOT "increase" it.

Use the "F-O-I-L" Method when multiplying two binomials. F-O-I-L stands for First, Outer, Inner, Last. Multiply the first terms together, then the outer terms, the inner terms, and the last terms.

Depends on the kind of binomials. Case 1: If both binomials have different terms, then use the distribution property. Each term of one binomial will multiply both terms of the other binomial. After distribution, combine like terms, and it's done. Case 2: If both binomials have exactly the same terms, then work as in the 1st case, or use the formula for suaring a binomial, (a ± b)2 = a2 ± 2ab + b2. Case 3: If both binomials have terms that only differ in sign, then work as in the 1st case, or use the formula for the sum and the difference of the two terms, (a - b)(a + b) = a2 - b2.

you can use the "foil" method. this is where you multiply the first numbers in each bracket ("f") then times the outside numbers in each bracket together ("o") then multiply the inside numbers together ("i") and then, the last numbers in each bracket ("l") you then add all of the answers together and simplify it.

? ? ? I am not sure what you need to know. A quilt pattern, is the method that you piece bits of fabric together to create a pattern or image. There are so many different patterns, and more are being created every day !