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It isnC0*A^n*b^0 + nC1*A^(n-1)*b^1 + ... + nCr*A^(n-r)*b^r + ... + nCn*A^0*b^n

where nCr = n!/[r!*(n-r)!]

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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 is a sum and difference of binomials?

The sum and difference of binomials refer to the mathematical expressions formed by adding or subtracting two binomials. A binomial is an algebraic expression containing two terms, such as (a + b) or (c - d). The sum of two binomials, for example, ((a + b) + (c + d)), combines the corresponding terms, while the difference, such as ((a + b) - (c + d)), subtracts the terms of the second binomial from the first. These operations are fundamental in algebra and are often used in polynomial simplification and factoring.


What is cube of a binomials?

(ax + b)3 = a3x3 + 3a2bx2 + 3ab2x + b3


What is sum and difference of binomials?

give me something to answer and ill answer it ASAP.. :D but here is my example 2 2 (a+b) (a-b) =a -b


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.

Related Questions

Is X-8 a first degree binomial?

Any expression with form Ax+b where a and b are constants are first degree binomials.


Is X 8 a first degree binomial?

Any expression with form Ax+b where a and b are constants are first degree binomials.


Is a squared plus b squared the same as a plus b squared?

No. If you expand (a + b)2 you get a2 + 2ab + b2. This is not equal to a2 + b2


When is the product of two binomials also a binomial?

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


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

a²-b²


What is a sum and difference of binomials?

The sum and difference of binomials refer to the mathematical expressions formed by adding or subtracting two binomials. A binomial is an algebraic expression containing two terms, such as (a + b) or (c - d). The sum of two binomials, for example, ((a + b) + (c + d)), combines the corresponding terms, while the difference, such as ((a + b) - (c + d)), subtracts the terms of the second binomial from the first. These operations are fundamental in algebra and are often used in polynomial simplification and factoring.


What is cube of a binomials?

(ax + b)3 = a3x3 + 3a2bx2 + 3ab2x + b3


What is sum and difference of binomials?

give me something to answer and ill answer it ASAP.. :D but here is my example 2 2 (a+b) (a-b) =a -b


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)


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)


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.


What is the meaning of binomials?

An expression consisting of two terms connected by the sign plus (+) or minus (-); as, a + b, or 7 - 3., Consisting of two terms; pertaining to binomials; as, a binomial root., Having two names; -- used of the system by which every animal and plant receives two names, the one indicating the genus, the other the species, to which it belongs.