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

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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)


Is the product of two binomials always be a trinomial?

No, the product of two binomials is not always a trinomial; it is typically a trinomial when both binomials are of the form (ax + b)(cx + d) where at least one of the coefficients is non-zero. However, if either binomial includes a term that results in a cancellation or if both binomials are constants, the result could be a polynomial of a lower degree or a constant. For example, multiplying (x + 2)(x - 2) results in a difference of squares, yielding a binomial (x² - 4), not a trinomial.


What two binomial whose sum is a binomial?

Two binomials whose sum is a binomial can be expressed as (a + b) and (c - b), where (a) and (c) are constants, and (b) is a common variable. When you add these two binomials, the (b) terms cancel out, resulting in the binomial (a + c). For example, if you have (3x + 2) and (5 - 2), their sum is (3x + 5), which is a binomial.


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

8


How do you reduce binomials into simplest form?

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.


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.


What is a product of a Binomials?

A product of binomials refers to the result of multiplying two binomial expressions, which are algebraic expressions containing two terms. For example, multiplying ((a + b)) and ((c + d)) results in a new expression obtained through the distributive property, leading to (ac + ad + bc + bd). This process is often visualized using the FOIL method (First, Outer, Inner, Last) for binomials. The resulting expression is a polynomial that may have more than two terms.