does the FOIL system work for any binomials
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.
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 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.
distributive
distributive.
No, does not work.
To find the product of binomials with similar terms, you can use the distributive property (also known as the FOIL method for binomials). Multiply each term in the first binomial by each term in the second binomial, combining like terms at the end. For example, for (a + b)(c + d), you would calculate ac, ad, bc, and bd, then sum these products while combining any like terms. This gives you the final expanded expression.
To reduce binomials into simplest form, first look for common factors in both terms of the binomial. Factor out any greatest common factors (GCF), if applicable. Additionally, if the binomial can be factored into a product of two binomials or simplified using algebraic identities, do so. Finally, ensure there are no further common factors or reducible expressions remaining.
Any expression with form Ax+b where a and b are constants are first degree binomials.
Any expression with form Ax+b where a and b are constants are first degree binomials.
You can make guitars out of aluminum foil in any way that you'd like. You can for example cut out a guitar shape in the foil and drawstrings on it with a marker.
I have never seen foil turn any meat green.