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Details for problem "Product of two sums term expansion"

Quickname: 1595

Suitable for K-12 grades:


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


Expand a product term which has sums with variables as factors. (Beispiel für die Lösung)


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.

- 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.



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Customization options for this problem

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

Similar problems

Name and direct link
Expand product of product and sum term
Expand product term with variables.

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Deutsche Version dieser Aufgabe
These informational pages with samples describe math problems that can be combined on custom math worksheets with solutions for home and K-12 school use.
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