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Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions. 8.2. To add and subtract rational expressions, just like with fractions, you need a common denominator. The common denominator is the LCM (Least Common Multiple) of the denominators. LCM of monomials and polynomials.

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Adding and Subtracting Rational Expressions

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  1. Adding and Subtracting Rational Expressions 8.2

  2. To add and subtract rational expressions, just like with fractions, you need a common denominator. • The common denominator is the LCM (Least Common Multiple) of the denominators

  3. LCM of monomials and polynomials A. Find the LCM of 15a2bc3, 16b5c2, and 20a3c6. 15a2bc3 Factor the first monomial. 16b5c2Factor the second monomial. 20a3c6Factor the third monomial. LCM Use each factor thegreatest number of timesit appears.

  4. A.Find the LCM of 6x2zy3, 9x3y2z2, and 4x2z.

  5. Example 1B B. Find the LCM of x3 – x2– 2x and x2– 4x + 4. x3 – x2– 2x Factor the first polynomial. x2 – 4x + 4 Factor the second polynomial. LCM = Use each factor the greatest number of times it appears as a factor.

  6. B. Find the LCM of x3 + 2x2 – 3x and x2+ 6x + 9.

  7. Simplify

  8. Simplify

  9. Simplify

  10. Simplify +

  11. Simplify –

  12. Simplify

  13. Simplify

  14. Simplify

  15. Simplify

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