Simplifying Rational Expressions How to simplify rational expressions? A tutorial with examples and detailled solutions is presented. To simplify a rational expression, we first factor both the numerator and denominator completely then reduce the expression by cancelling common factors. Example 1: Simplify the rational expression 4x - 2 -------2x - 1 Detailed Solution to Example 1 Factor both the numerator and denominator completely. Know More About How to Find Circumference
2(2x - 1) --------2x - 1 Cancel common factors to reduce and simplify the given expression. 2(2x - 1) = -------- = 2 , with x not equal to 1 2x - 1 Note: The given expression is equal to 2 on the condition that x is not equal to 1. x = 1 is not in the domain of the expression. Example 2: Simplify the rational expression 4x + 16 --------x2 - 16 Detailed Solution to Example 2 Factor both the numerator and denominator completely. 4x + 16 4(x + 4) --------- = ---------------x2 - 16 (x + 4)(x - 4) Learn More On :- Circumference Formula of a Circle
Cancel common factors to simplify the expression. 4(x + 4) = --------------(x - 4)(x + 4) 4 = -------(x - 4)
, with x not equal to -4.
How To Solve Inequalities In this page we are going to discuss about solving inequalities concept .Math problems contain <,>,<= and >= are called inequalities. Systems of inequalities are a set of two or more inequalities with the same variables. An inequality says that two values are not equal. a ? b says that a is not equal to b for example, a < b says that a is less than b. a > b says that a is greater than b. a ? b means that a is less than or equal to b. a ? b means that a is greater than or equal to b. Solving Algebra Inequalities Below are the examples on solving algebra inequalities Example 1 :- Solve for4(x+1) <2x+3
Step 4: 4x>=-2,-20x>=-10. Step 5: x>= -2/4, x>=-10/20 Step 6 : So, the value of x<= 1/2, x<= 1/2. Example 3: Solve for 2x2<32 Solution: Step 1: Divide using 2 on both the sides Step 2: 2:x2<16 Step 3: It can be written as x2<42 Step 4: So x= 4
Read More On :- Circle Circumference Formula
3) Graphing method. 4.) Trial and error method. 5.) Taylor method. 6.) Numerical Method 7.) Solving Equations usingInverse Functions Types of Equation :- An equation play a very important role in the mathematics. We are solving many problems with the help of equation. There are manytypes of equations. 1.) Linear equation : A linear equation is very similar to analgebraic equation of the from y = mx + b. Where m is slope , And b is y-intercept. Example : a) y = 8x - 9 b) y = - x - 13.
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