Algebra 2 Ch.9 Notes Page 64 P 64 9-5 Add/Subtract Rational Expressions.

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Presentation transcript:

Algebra 2 Ch.9 Notes Page 64 P Add/Subtract Rational Expressions

Least Common Multiples Find the Least Common Multiple of 4x and 6x x x = 4(x 2 - 9) = 2 x 2 (x + 3)(x - 3) 6x x + 54 = 6(x 2 + 6x + 9) = 2 x 3 (x + 3)(x + 3) Write each prime factor the greatest number of times it appears in either expression. Simplify! 2 x 2 x 3 (x - 3)(x + 3)(x + 3) 12(x - 3)(x + 3) 2

Adding Rational Expressions You Must have a Common Denominator to Add Fractions! 1 + 5x x 2 + 5x + 4 3x + 3 Factor the Denominators 1 + 5x (x + 1)(x + 4) 3(x + 1) Multiply each Fraction by what is in the Other Denom (x+4) 5x 3 (x + 1)(x + 4) (x+4) 3(x + 1) Simplify and Add (You have a Common Denom.) 3 + 5x(x+4) 3(x + 1)(x + 4) 3(x + 1)(x+4) Final Answer 5x x + 3 3(x + 1)(x + 4)

Subtracting Rational Expressions You Must have a Common Denominator to Subtract Fractions! 7y - 4 5y y + 15 Final Answer Simplify and Add (You have a Common Denom.) Multiply each Fraction by what is in the Other Fraction Factor the Denominators 7y - 4 5(y+5)(y-5) 3(y+5) 3 7y - 5(y-5) 4 3 5(y+5)(y-5) 5(y-5) 3(y+5) 21y - 20y (y+5)(y-5) 1y (y+5)(y-5)

HW # P517 #4-15,16,17,19 Pl ease put your name and class period at the top of the homework. Also include the homework number.