Quickname: 1595

Suitable for K-12 grades:

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 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 printable worksheets for this math problem here. The worksheet contains the problems only, the solution sheet includes the answers. 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

You may pass on the worksheets offered for download on this page to others, but not modify or sell them.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Deutsche Version dieser Aufgabe

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