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

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Q: When is the product of two binomials also a binomial?
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Can you give me 5 example of product of two binomials?

no please give me 5 riddles about product of 2 binomial


Which factors resulted in a product that is binomial?

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)


How do you write two binomials such that the product is equal to zero when x equals 3 or -5?

8


Will the product of two binomials always equal a trinomial?

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?


What is a binomial factor?

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)


How many terms do a binomial has?

bi- = 2 Binomials have two terms.


How do you binomials?

There are many different methods to factor polynomials in general; specifically for binomials, you can check:whether you can separate a common factor,whether the binomial is the difference of two squares,whether the binomial is the sum or difference of two cubes (or higher odd-numbered powers)


Will the product of two binomials after combining like terms always be trinomial?

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.


How many terms do binomials have?

They have one more than the power of the binomial.


How can you introduce squaring a binomial to the learners?

You could start with multiplying two different binomials ("FOIL" and such), then squaring a binomial is just a special case. In both cases, you could give a geometric illustration (a square with sides a+b and c+d, and the product represented by area)


What is the sum and difference pattern for the product of two binomials?

a²-b²


What is a method for multiplying two binomials?

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.