Like terms space terms that contain the same variables elevated to the exact same power. Only the numerical coefficients space different. In one expression, only like terms deserve to be combined. We incorporate like terms to shorten and also simplify algebraic expressions, therefore we can work v them more easily. To incorporate like terms, we include the coefficients and keep the variables the same. We can"t integrate unlike terms because that"s prefer trying to include apples and also oranges!

Look at this 10 terms. Let"s uncover all the choose terms that deserve to be combined.

You are watching: Terms that have the same variables raised to the same powers are called

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all this terms have x2y | |

all these terms have xy2 | |

this is the only x2yz term | |

this is the just xy term | |

all this terms have x2y2 | |

this is the just xy2z term |

**Be cautious when combining!** ** Terms choose x2yz **and** xy2z **look a many alike, however they aren"t and also cannot it is in combined. Compose the terms carefully when working out problems.

**Don"t overlook terms that room alike! **Terms follow the associative residential property of multiplication - the is, xy and also **yx** are prefer terms, as are **xy2 **and** y2x.**