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4.2 Combining Like Terms

4.2 Combining Like Terms. Objectives: To recall the rules of combining like terms To extend these rules to more complicated monomials. Rules for Combining Like Terms. Recall that there are two requirements for being able to COMBINE LIKE TERMS. Same variables Same exponents.

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4.2 Combining Like Terms

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  1. 4.2 Combining Like Terms Objectives: To recall the rules of combining like terms To extend these rules to more complicated monomials

  2. Rules for Combining Like Terms Recall that there are two requirements for being able to COMBINE LIKE TERMS • Same variables • Same exponents

  3. Rules for Combining Like Terms Alien Code #1: To count as part of the army that attacks Earth, you must have • Same BODY • Same NUMBER OF HEADS 2 Heads 3 Heads 4 Heads X2 Y3 Z4 “X” Body “Y” Body “Z” Body

  4. Planet #2 Planet #1 Planet #3

  5. Planet #2 Planet #1 2X2 + 1Y3 Planet #3 3X2 + 1Y3 + 3Z4 2X2 + 3Y3 + 1Z4

  6. 3X2 + 1Y3 + 3Z4 + 2X2 + 1Y3 + 2X2 + 3Y3 + 1Z4

  7. 3X2 + 1Y3 + 3Z4 + 2X2 + 1Y3 + 2X2 + 3Y3 + 1Z4 7X2 + 5Y3 + 4Z4

  8. Let’s try it with some more complicated monomials 3x2y3z4 + 5xy3z4 - 2x2y3z4 + 3xy3z4

  9. Let’s try it with some more complicated monomials 3x2y3z4 + 5xy3z4 - 2x2y3z4 + 3xy3z4 1x2y3z4+ 8xy3z4

  10. Examples Simplify by COMBINING LIKE TERMS. • 2x + 3y - 4y + 4x • 2x2-3x+4x-5+x2 • 5(2x-3y) - 4(3x+2y)

  11. Ex: Simplify 1) 5x3y2z4 - 3x3y2z4 + 2x2y3z4 + 3xy3z4 2) 2x2yz3 - 4x3y2z4 + 2x3y2z4 - 3x2yz3 3) 2x2y3z2 - 3x2y2z2 - 2x2y3z2 - 2x2y2z2 4) 2x2y2z3 - 3x2y2z3 + 2x2y2z3 + 3x2y3z4

  12. Let’s review how to find “degrees” 1) 5x3y2z4 - 3x2yz4 + 2x3y3z4 Degree of “x” Degree of Monomial Degree of Polynomial 2) 2xy3z3 - 3x2y2z3 + 2x3y2z3 Degree of “x” Degree of Monomial Degree of Polynomial

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