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Let a, b, c, d Є C, where C is the field of complex numbers.
Let m, n, p, q Є N, where N is the field of natural numbers, including 0.
If w, x, y, z Є C are unknown, the product of the two binomials (awm + bxn) and (cyp + dzq) is equal to the following:
acwmyp + adwmzq + bcxnyp + bdxnzq.
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What is an acronym for the terms used when two binomials are multiplied?
FOIL. First terms Outer terms Inner terms Last terms
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.
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.
Is (a-3) a the sum of two terms?
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.
How many terms do a binomial has?
bi- = 2 Binomials have two terms.
What is the definition of dissimilar term in algebra?
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
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 multiply binomials?
You use the FOIL method. First terms Outer terms Inner terms Last terms.
Which of the following are binomials?
The ones that are the sum or the difference of two terms.
What is the last step when multiplying binomials?
Combining like terms.
What is an acronym for the terms used when two binomials are multiplied?
FOIL. First terms Outer terms Inner terms Last terms
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.
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 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.
Is (a-3) a the sum of two terms?
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 maximum number of terms that can be obtained when two binomials are multiplied?
4 times
How many terms do a binomial has?
bi- = 2 Binomials have two terms.
