### Simplifying like terms

Like terms are those that include the same letters. Therefore 3x, 7x, − 4x are all like terms. However, 3x, 7y, − 4y^{2} are not like term. To simplify an expression like terms can be added or subtracted, this is done by putting all like terms together, before calculating

#### Example 1. Simplify 3x + 7x + 2x

#### Example 2. Simplify 19a + 7b − 4a + b

#### Example 3. Simplify 10y

^{2}− 17y − 4y^{2}+ 5y#### Example 4. Simplify xyz + 2yxz + 3yzx + 4zxy + 5zyx

#### Example 5. Simplify 4x − 3y

These are all like terms

3x + 7x + 2x | = | 12x |

Rearrange by putting all like terms together. Note b = 1b

19a + 7b − 4a + b

= | 19a − 4a + 7b + b | ||

= | 15a + 8b |

Rearrange by putting all like terms together.

10y^{2} − 17y − 4y^{2} + 5y

= | 10y^{2} − 4y^{2} − 17y + 5y | ||

= | 6y^{2} − 12y |

The terms yxz, yzx, zxy and zyx are all the same as the term xyz

xyz + 2yxz + 3yzx + 4zxy + 5zyx

= | 15xyz |

Cannot be simplified because they are different terms

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