Algebraic Expression Algebraic Expression Algebra is the most important and interesting topic of mathematical world. It starts from junior grades and goes up to college level grades. Along with this sometimes algebra problems become complex and tough. We all know that when we are moving towards higher education, things are getting tougher and more complex. To reduce this complexities student need a daily practice, which will help in getting some confidence. Lets discuss about the basic concept of Algebra. Algebra is a branch of mathematics which helps in studying the rules of operations and relations. In a simple mathematical manner we can say that It is an area of mathematics in which letters and symbols are used in place of numbers and quantities to form an equation and formula. Before proceeding further, let's talk about equation. An equation is a mathematical expression which shows the equality of two expressions. For example 2x + y = 6. Now we are going to discuss about Algebraic expressions. Algebraic expressions is basically Know More About Radius of a Circle Math.Tutorvista.com
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an expression having one or more variables made up of signs and symbols of algebra. Symbols can be Arabic numerals, literal numerals, or mathematical operators. Let just take one Algebra problems to understand it better. 3x -- z = c here x and z are the variables, c is a constant and 3 is a coefficient of x. Algebra also stands high in 8th Grade Math as many other topics of mathematics like fractions, geometry, trigonometry etc. An algebraic expression can be of three types, named as Monomial, Binomial and Trinomials. Algebraic expression having single term known as Monomial and expression with two terms are known as Binomial whereas expressions with more than two terms or having three terms are known as Trinomials. Examples xy = monomial, x -- 7y : Binomial, x + 2y -- c : Trinomial Terms are of two types Like terms or Unlike terms. Terms that has the same power of the same variables are called Like terms whereas the terms that do not contain the same power of the same variables are called unlike terms. Following steps are used to solve an Algebraic expressions: Firstly remove all the fractions in the equation Then remove the parentheses . Combine all the like terms so that we get all the variables and terms together. Move all the variable terms by adding or subtracting on both sides of the equal sign so the variable terms are all on one side of the equal sign. And finally if there is any multiplication sign then remove it by dividing. Example 1 Compute the factors for the expression x2+ 56x+ 768. Learn More Volume of a Sphere Formula Math.Tutorvista.com
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Solution: The given expression is x2+ 56x+ 768. Step 1: x2+ 56x+ 768 = x2+24x+ 32x+ (24x 32) Step 2: x2+ 56x+ 768 = x(x+24) + 32(x +24) Step 3: x2+ 56x+ 768 = (x+24) (x+32) Step 4: x+24 and x+32 The factors for the given expression x2+ 56x+ 768 are (x +24) and (x +32).
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