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Details for problem "Extract binomic formula from term"

Quickname: 1825

Suitable for K-12 grades: Grade 6 Grade 7 Grade 8

Elementary School, Primary School, Junior High School, Middle School, High School.

Summary

A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.

Example

A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand. (Beispiel für die Lösung)

Description

The expanded term for a binomic formula is part of a given term. The given term has been created by multiplying the binomic formular with a factor or by adding a summand or difference. The task is to extract the binomic formula and convert it to the original form written as a factor of two summands. To perform this, either the factor applied has to be factored out or the additional summand has to be extracted.

The summands of the formula's factors will be either a variable and a literal number or both of them will be variables. In no case, both summands will be numbers, which means the expanded term will always contain variables and it does not simplify to a single literal number.

The number of problems is selectable. For the types of formulas that will appear it can be specified that only some of the three binomic formulas will be used. The modifying term can be either a product, a sum or a difference. There is an option to choose with of these arithmetic operations can appear.

Variables that appear will always be named a and b or x and y.


Topics: Algebra Puzzles

Tags: Polynom Quadratic functions Rules Terms

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Customization options for this problem

Parameter
Possible values
Number of problems
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Binomic formula type
(a+b)^2, (a-b)^2, (a+b)(a-b), (a+b)^2 & (a-b)^2, all
Part of
product,sum,difference, product, sum, sum,difference
Other term
variable,number, variable, number
Provide hint
Yes, No

Similar problems

Remark
Description
Name and direct link
Factorisation of a generic term
Factorise a term with variables
Opposite problem
Simplify a term which contains a binomic formula

dw-Math worksheet templates that do contain this problem

Name
Title
Description
Binomic formulas: Advanced applications
Use the binomic formulas to simplify and expand terms.

Other types of problems that appear on worksheets with this problem:

Relevance
Name
Description
Quickname
Example
****
Expand and simplify binomic formula, advanced
Apply binomic formula expansion rules to simplify term. Advanced version mit multiples of variables as summands.
Expand and simplify binomic formula, advanced
****
Simplify term with binomic formula, combine like terms
Simplify a term which contains a binomic formula
Simplify term with binomic formula, combine like terms
****
Examine the elements of binomic formulas
Elements of a binomic formula and their expanded form are grouped in a table. Fill the empty spaces.
Examine the elements of binomic formulas


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