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

Algebra 2 C h.9 Notes Page 64 P 64 9-5 Add/Subtract Rational Expressions. Least Common Multiples. Find the Least Common Multiple of 4x 2 - 36 and 6x 2 + 36x + 54. 4x 2 - 36 = 4(x 2 - 9) = 2 x 2 (x + 3)(x - 3) 6x 2 + 36x + 54 = 6(x 2 + 6x + 9) = 2 x 3 (x + 3)(x + 3).

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

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  1. Algebra 2 Ch.9 Notes Page 64 P64 9-5 Add/Subtract Rational Expressions

  2. Least Common Multiples Find the Least Common Multiple of 4x2 - 36 and 6x2 + 36x + 54 4x2 - 36 = 4(x2 - 9) = 2 x 2 (x + 3)(x - 3) 6x2 + 36x + 54 = 6(x2 + 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

  3. Adding Rational Expressions You Must have a Common Denominator to Add Fractions! 1 + 5x x2 + 5x + 4 3x + 3 1 + 5x (x + 1)(x + 4) 3(x + 1) Factor the Denominators 3 1 + (x+4) 5x 3 (x + 1)(x + 4) (x+4) 3(x + 1) Multiply each Fraction by what is in the Other Denom. 3 + 5x(x+4) 3(x + 1)(x + 4) 3(x + 1)(x+4) Simplify and Add (You have a Common Denom.) 5x2 + 20x + 3 3(x + 1)(x + 4) Final Answer

  4. Subtracting Rational Expressions You Must have a Common Denominator to Subtract Fractions! 7y - 4 5y2 - 125 3y + 15 7y - 4 5(y+5)(y-5) 3(y+5) Factor the Denominators Multiply each Fraction by what is in the Other Fraction 3 7y - 5(y-5) 4 3 5(y+5)(y-5) 5(y-5) 3(y+5) 21y - 20y - 100 15(y+5)(y-5) 15(y+5)(y-5) Simplify and Add (You have a Common Denom.) 1y + 100 15(y+5)(y-5) Final Answer

  5. HW #71 9-5 P517 #4-15,16,17,19 Please put your name and class period at the top of the homework. Also include the homework number.

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