algebraic expression


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"Algebraic expression" Introduction


From   Wikipedia , TutorVista
Wikipedia
algebraic expression : In mathematics, the word expression is a term for any well-formed combination of mathematical symbols is an expression, while is an equation but not an expression. Neither is an expression because the parentheses are not balanced and division by zero is undefined. Being an expression is a syntactic concept – the meaning of the variables is irrelevant, but different fields have different notions of validity. See formal language for how expressions are constructed, and formal semantics for meaning. Many mathematical expressions include letters called variables. Variables are classified as either free or bound. For a given combination of values for the free variables, an expression may be evaluated, although for some combinations of values of the free variables, the value of the expression may be undefined. Thus an expression represents a function whose inputs are the value assigned the free variables and whose output is the resulting value of the expression. For exam....   More from Wikipedia

algebraic expression : An expression in a programming language is a combination of values, variables, operators, and functions that are interpreted ( evaluated) according to the particular rules of precedence and of association for a particular programming language, which computes and then produces ( returns,..   More from Wikipedia

Type (ii) By expressing the polynomial as the difference of two squares
121x 2 - 25y 2 = (11x) 2 - (5y) 2 = (11x + 5y) (11x - 5y) [Using the identity a 2 -b 2 =(a-b)(a+b)] Factorise: (5a + 6b) 2 - 49b 2 Let x = 5a + 6b Then the given expression = (x) 2 - (7b) 2 = (x + 7b) (x - 7b) Re-substituting the value of x, we get = [(5a + 6b + 7b)] [(5a +..
Algebra of Limits
If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expressions..

"Algebraic expression" Videos


From   Youtube
  In this video, I show you how easy it can be to work with algebraic expressions and solve them.
  www.mindbites.com You can simplify algebraic expressions by combining like terms. Terms are the part of an expression to be added or subtracted. Terms are called 'like terms' if the variables are the same. A coefficient is the number that is multiplied by a variable in an algebraic expression. In this lesson, Professor Burger demonstrates the commutative, associative, and distributive properties by simplifying several algebraic expressions involving like and unlike terms.Taught by Professor ...

"Algebraic expression" Questions & Answers


From   Yahoo Answers
Question : The greenhouse I am building is 6 feet longer than it is wide. Write an algebraic expression for the perimeter if the length is expressed as x. If x equals 20, what is the perimeter?

Answer : Length = x. Length is 6' more than its width. Hence width=x-6. Perimeter is 2*(x+x-6)=4x-12. (Assumed to be a rectangular greenhouse) If x=20, perimeter= 20*4-12=68...   More from Yahoo Answers

Question : A ball is thrown vertically upward, which is the positive direction. A little while later it returns to its point of release. The ball is in the air for a total time of 8.0 s. What is the algebraic expression for the initial velocity v0 of the ball? Express your answer in terms of the ball's displacement y, its acceleration a in the vertical direction, and the elapsed time t. What is the initial velocity v0 of the ball?

Answer : a=-g=-9.8 m/s^2 y=v0t-(gt^2)/2 0=v0-(gt)/2 v0=(gt)/2 v0=(9.8*8)/2 v0=39.2 m/s Don't have time to double check this, but I think it's right. :)..   More from Yahoo Answers

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