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# Details for problem "Product term expansion"

Quickname: 8621

## Summary

Expand product term with variables.

## 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) 3*(x+6)
b) 3x*(y+6)
c) 3x*(x+7)
d) 3(2x+3y)
e) 3x(2x+3y)
f) 3(2x+3y+3z)

In the b,c,d and e variants, variables have to be factored out.
In the c and e variants, squares of variables may occur.

The term variants that may occur can be specified. The range for the numbers and products can be chosen. There is an option to choose whether negative numbers may be part of the term.

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.

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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
Negative numbers allowedYes, No
Sample problemtYes, No
Problem type3(x+4), 3(x+4),3y(x+4), 3x(y+4),3x(x+4), 3(y+4),3(2x+3y), 3(2x+3y),3x(2x+3y), 3(2x+3y),3(2x+3y+4z), mixed, mixed no powers