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Expand a product term which has sums with variables as factors.

A product term whose factors are a product or number and a sum has to be expanded. The term may contain up to three variables.

The shape of the term to be expanded may be one of these:

a) (a+b)(c+d)

b) (a+b)(c-d)

c) (a-b)(c+d)

d) (a-b)(c-d)

The term can be chosen to be

- one of group a, which means both factors are sum terms.

- one of groups a,b or c, which means at most one factor is a difference term.

- any of gropups a-d, which means both factors can be difference terms

- one of groups b,c or d, which means at least one factor is a difference term.

Further,

- squares can be disallowed, which means a variable will appear only in one of the factor terms.

- it can be specified that one of the variables in each factor may be a number.

The range for the numbers can be chosen.

The number of problems is selectable. The first problem can be presented with the answer in the form of a sample problem. If required, some space will be left so that the answer may be written on the sheet.

Download free worksheets for this math problem here. There is a second sheet with the solutions. Just click on the respective link.

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Parameter | Possible values |
---|---|

Number of problems | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 |

Number Range | 20, 50, 99, 200, 499, 999, 1999, 4999 |

Problem type | (a+b)(c+d), (a-b) allowed, exactly one of (a-b), at least one (a-b) |

Sample problem | Yes, No |

Space for answer | Yes, No |

Allow squares | Yes, No |

Numbers allowed | Yes, No |

Remark | Description | Name and direct link |
---|---|---|

expand product of product and sum term | Expand product term with variables. | Product term expansion |

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