**Examples** of a binomial are

Examples |
Explanation of example |

x +3 |
This expression has two terms , 'x' and '3' that are not like . |

x^{2} + 5 |
This expression has two terms , 'x^{2}' and '3' that are not like . |

x^{2} + x |
This expression has two terms , 'x^{2}' and x' that are not like . |

x + 3 +2 |
This expression actually can be simplified to x + 5 which is an expression that has two unlike terms. |

x+x+3 |
This can be rewritten as 2x +3 which is an expression with two** **__un__like terms. |

On the other hand, x+2x is **not** a **binomial** because x and 2x are like terms and can be reduced to 3x which is only one term. Remember, a binomial needs to be two separate terms that cannot be combined further.

**Non** examples of a binomial are

Examples |
Explanation of example |

3 +2 |
This expression can be rewritten as 5, which is only a single term. Remember we **need 2 unlike terms **for a binomial |

x^{2} |
This expression only has 1 term. |

x+x |
This expression can be rewritten as 2x, which is only a single term. Remember we **need 2 unlike terms **for a binomial |

x^{2}+3x+5 |
This expression has three terms. (Not a binomial but actually a trinomial) |