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Q: What is algebraic expressions and identities?

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Algebraic expressions are terms that do not include an equality sign

Yes. That is the definition of an algebraic expression.

Yes.

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions are terms that do not include an equality sign

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They are callled: Identical equations or Identities See: http://www.tutorvista.com/search/value-algebraic-expressions

They can be used to simplify expressions so that the solutions can be found more easily.

Algebraic expressions may contain variables but they are not normally called variables. In fact, if they are related to identities, they need not be variable. For example, (4x2 + 8xy + 4y2)/(x + y)2 is an algebraic expression, but it is not a variable: it equals 4.

no algebraic expressions do not have equal signs but equations do.

Algebraic expressions are terms that do not include an equality sign

Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.

They are identities.

the word algebraic is arabic.

Yes. That is the definition of an algebraic expression.

Only like terms can be subtracted or added in algebraic expressions.

An expression with a variable.

Yes.

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