Simplifying Rational Expressions Notes Pdf

Simplifying Rational Expressions Date_____ Period____ Simplify each expression. The value of the variable cannot make the denominator equal to 0.

Simplifying Rational Expressions Cuemath

Then the following property applies.

Simplifying rational expressions notes pdf. Excited to share this power point on Simplifying Rational Expressions with GUIDED NOTES Students begin the lesson with a review of key terms explaining in their own words and giving examples. Simplify the expressions a 6 x x 2 x 5 2 2 b a 7 b b 7 a c xy x y y x x y Solving Rational Equations A rational equation is an equation that contains at least one rational expression. Identify any x-values for which the expression is undefined.

Thus becomes when simplified. Properties of Exponents 1. Let a b and c be nonzero real numbers or variable expressions.

I can use properties of exponents to simplify expressions. This will be illus-. Restrictions on the variable.

Find the LCD of all fractions in the expressions. Unit 4 Radical Expressions and Rational Exponents chapter 7 Learning Targets. Decide which steps must be taken to simplify each expression.

1 8x 2 9 9 2 3 9n 2n 7 5n 5 5x 2 4 6 5 7 7m 6 m 6 5m7m 5 77m 5 9 7r 7rr 10 r 6 r 62 11 25n 25 5 4 30n 30 13 x 10 35x 21 7 35x 21 15 x 2 6x 7 x 5 x 5 x 7 17 8k 24k2 40k 1 15k 25 19 n 8 6 10n 80 21 4m 36 m9 m 5 5m2 23 3x 6 12x 24 x 3 25 b2 40b2 24b 5b 3. Simplifying rational expressions Factoring completely A RATIONAL FUNCTION can be written in the form fx polynomial polynomial. To simplify this expression factor b from each term in the numerator then divide it out.

Multiply the numerator and denominator by the LCM of all fractions within the complex expression. Write the numerator and denominator of the complex rational expression as single rational expression and then convert division to multiplication. I can multiply radical expressions.

3101 2 35 c 2 3 6 9 1 3 2 3 6 9 1 1 3 3 Power of a quotient rule 2 3 2 3 Power of a power rule 3 2 3 2 Definition of negative exponent 2 4 7 Simplifying Expressions Involving Variables When simplifying expressions involving rational exponents and variables we must. 41 Simplifying Rational Expressions Obj. Multiply by a form of one in which the numerator and denominator are the LCD.

Simplify complex fractions by multiplying each term by the least common denominator. 4 Reduce any fractional coefficients. Simplify 3x x x 2 You try.

Simplifying Radical Expressions 2. 5 Move all negatives either up or down. 41 Notes - Simplifying Rational Expressions 1pdf - 41.

To simplify rational expressions In order to simplify rational expressions you must FACTOR FIRST. Simplify the expression below completely. Simplify numerator and denominator separately.

Example 2 Simplify -7a2b3 21a5b -7a2b3 7a2b-b2 The GCF of the numerator and 21a5b 7a2b 3a3 denominator is 7a2b -b2 Divide out the GCF 3a3 Example 3 Simplify 35xy2 14y2z. Simplify the expression below completely. Students note similarities and differences between rational numbers and rational expressions.

These fractions can be simplified in one of two ways. Simplifying Exponents Step Method Example 1 Label all unlabeled exponents 1 2 Take the reciprocal of the fraction and make the outside exponent positive. A rational function is a function thatcan be written as a ratio of two polynomials.

SIMPLIFYING RATIONAL EXPRESSIONS Lesson Objectives. Multiplying and Dividing 3. The parent rational.

3 Get rid of any inside parentheses. Factor both the numerator and denominator as completely as possible. To Simplify Rational Expressions 1.

There are two standard techniques to simplify complex rational expressions. 482 916 Chapter 9 Radicals and Rational Exponents b Use the power of a power rule to multiply the exponents. Demonstrate two methods for simplifying problems such as 2 on the handout.

Complex fractions have fractions in either the numerator or denominator or usu-ally both. Alg II Section 84 Part 1 Notes 1 March 03 2015 Simplifying Rational Expressions Warm Up Simplify the following completely. Two approaches to simplify a compound fraction.

To simplify a rational expression. Then multiply by the reciprocal to divide. This preview shows page 1 - 2 out of 2 pages.

Simplifying Rational Expressions A rational expression is in simplest form when. Algebra 2 AII1 AII4 Rational Expressions NOTES Mrs. Have groups share ideas with the entire class.

X2 8x 12 x2 12x 36 x 2 x 6 x 4 x 1 5 3 7 x2 5x 4 x2 1. Grieser Page 5 Algebraic example. 24 2 2 1 2 1.

We simplify rational expressions the same way we simplify fractions eliminate any common factors of the numerator and denominator. Rational Expressions - Complex Fractions Objective. Values of the variable that would make the denominator equal to zero excluded values Problem 1.

Then simplify the resulting rational expression. Divide out any factors common to both the numerator and denominator. I can simplify radical algebraic expressions.

1 36 x3 42 x2 6x 7 2 16 r2 16 r3 1 r 3 16 p2 28 p 4p 7 4 32 n2 24 n 4n 3 5 70 n2 28 n 5n 2 6 15 n 30 n3 1 2n2 7 2r 4 r 2 2 8 45 10 a 10 9 2a 1 9 x 4 3x2 12 x.

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