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# Details for problem "Product of two sums term expansion"

Quickname: 1595

## Summary

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

## Example ## Description

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 one of groups 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. Worksheet 1 Solution sheet Worksheet 2 Solution sheet Worksheet 3 Solution sheet

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## Customization options for this problem

ParameterPossible values
Number of problems1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Number Range20, 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 problemYes, No
Allow squaresYes, No
Numbers allowedYes, No