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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, and it is an important tool used for solving equations.
A similar problem, involving equating like terms rather than coefficients of like terms, arises if we wish to de-nest the nested radicals + to obtain an equivalent expression not involving a square root of an expression itself involving a square root, we can postulate the existence of rational parameters d, e such that
Blend word. In linguistics, a blend —also known as a blend word, lexical blend, or portmanteau[a] —is a word formed, usually intentionally, by combining the sounds and meanings of two or more words. [2][3][4] English examples include smog, coined by blending smoke and fog, [3][5] as well as motel, from motor (motorist) and hotel. [6]
Neologisms are often formed by combining existing words (see compound noun and adjective) or by giving words new and unique suffixes or prefixes. [10] Neologisms can also be formed by blending words, for example, "brunch" is a blend of the words "breakfast" and "lunch", or through abbreviation or acronym, by intentionally rhyming with existing words or simply through playing with sounds.
Jumble: a kind of word game in which the solution of a puzzle is its anagram. Chronogram: a phrase or sentence in which some letters can be interpreted as numerals and rearranged to stand for a particular date. Gramogram: a word or sentence in which the names of the letters or numerals are used to represent the word.
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. For a univariate polynomial, the degree of the polynomial is simply the ...
Linear combination. In mathematics, a linear combination or superposition is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants). [1][2][3][4] The concept of linear combinations ...
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