Q: What is product of two binomials?

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a²-b²

the two consecutive positive integers whose product is 380 19 20

distributive.

distributive

(a-b) (a+b) = a2+b2

no please give me 5 riddles about product of 2 binomial

multiply the 1st term with whole bracket and the 2nd term with whole bracket

It means that the question has been written by someone who does not know what the word "polynomial" means, or else that this is a copy-and-paste by someone who knows even less! Only a trinomial can be written as a product of two binomials. No polynomial of any other order can!

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

No, they cannot with real numbers. With complex numbers it is possible.

no, because some examples are: (a-2)(a+2) = a^2-4 (binomial) & (a+b)(c-d) = ac-ad+bc-db (polynomial) but can 2 binomials equal to a monomial?

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 answer will depend on the order in which you do partial products. It is quite common in the UK for the first partial product to be the two digits in the tens' place and so that is often the largest. This ties in with the method for multiplying two binomials when they move on to algebra.

The ones that are the sum or the difference of two terms.

The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.

No. A counter-example proves the falsity: Consider the two binomials (x + 2) and (x - 2). Then (x + 2)(x - 2) = x2 - 2x + 2x - 4 = x2 - 4 another binomial.

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.

8

4 times

Foil

multiplying

Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)

Binomials are algebraic expressions of the sum or difference of two terms. Some binomials can be broken down into factors. One example of this is the "difference between two squares" where the binomial a2 - b2 can be factored into (a - b)(a + b)

(7x + 2)(3x - 5)

bi- = 2 Binomials have two terms.

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