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As this example shows, when like terms exist in an expression, they may be combined by adding or subtracting (whatever the expression indicates) the coefficients, and maintaining the common factor of both terms. Such combination is called combining like terms or collecting like terms, and it is an important tool used for solving equations.
In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
Terms that are either constants or have the same variables raised to the same powers are called like terms. If there are like terms in an expression, one can simplify the expression by combining the like terms. One adds the coefficients and keeps the same variable. + + =
The third power of the trinomial a + b + c is given by (+ +) = + + + + + + + + +. This can be computed by hand using the distributive property of multiplication over addition and combining like terms, but it can also be done (perhaps more easily) with the multinomial theorem.
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
The IRS boosted taxpayer services through Democrats’ Inflation Reduction Act but still faces processing claims from a coronavirus pandemic-era tax credit program and is slow to resolve certain ...
Related: Step by Step Cast Reunites at 90s Con and Remembers Suzanne Somers 5 Months After Her Death Elsewhere in the interview, Duffy told the story of meeting his wife of 46 years, the late ...
Medications like Vicks Vapo-Rub or topical menthol ointment may also provide symptomatic relief, says Dr. Adalja. In adults and children age 2 and older, use it only on the neck and chest to ease ...
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