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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.

Q: Why is the FOIL method not needed when multiplying two binomials?

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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 don't need any acronym; just multiply every monomial on the left with every monomial on the right. The same goes for multiplying a binomial with a trinomial, two trinomials, or in fact for multiplying any polynomial by any other polynomial.

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.

The FOIL method is used to determine the order of operations in multiplying two binomials, so I would say that a is the answer. FOIL stands for First, Outer, Inner, Last. So (a+3)(a-2) would be worked as follows: a(a)=a squared; a(-2)=-2a;3(a)=3a; and 3(-2)=-6. Combine the like terms and you get a squared+a-6.

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Foil

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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.

does the FOIL system work for any binomials

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

You don't need any acronym; just multiply every monomial on the left with every monomial on the right. The same goes for multiplying a binomial with a trinomial, two trinomials, or in fact for multiplying any polynomial by any other polynomial.

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.

Explain how I would use algebra times to multiply two binomials (FOIL)?

The FOIL method is used to determine the order of operations in multiplying two binomials, so I would say that a is the answer. FOIL stands for First, Outer, Inner, Last. So (a+3)(a-2) would be worked as follows: a(a)=a squared; a(-2)=-2a;3(a)=3a; and 3(-2)=-6. Combine the like terms and you get a squared+a-6.

In math, you FOIL when multiplying two binomials. Really, FOIL is just the distributive property; it's just a rule to help make sure you multiply everything in the first binomial by everything in the second. So (x+1)(x+3) is an example of this. It is done by multiplying the first terms, outside terms, inside terms, and then last terms. This is x2+3x+x+3. Simplified, this is x2+4x+3.