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Details for problem "Examine the elements of binomic formulas"

Quickname: 7596

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

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

Summary

Elements of a binomic formula and their expanded form are grouped in a table. Fill the empty spaces.

Example

Elements of a binomic formula and their expanded form are grouped in a table. Fill the empty spaces. (Beispiel für die Lösung)

Description

In a tabular form, structural elements of binomic formulas in parentheses and expanded form like

- binomic formular in parentheses form
- a
- b
- 2ab
- a^2
- b^2
- expanded form

are shown as captions for a table. The task is, for a given binomic formular, to identify these structural elements and fill in the table's columns accordingly.

In every row of the table, depending on the problem statement, some elements will be given, some will be left blank to be filled in.

Fot the problem generation, it is selectable if a and b will be simple literal numbers or variables or multiples of variables. The first problem may serve as an example and will then presented as a fully populated row.

The number of problems is selectable, and the types of formulas to be used.


Topics: Algebra Puzzles

Tags: Addition Multiplication Quadratic functions Rules Subtraction

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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
Type of formula
(a+b)^2 & (a-b)^2, (a+b)(a-b)
Columns provided
parentheses form, expanded, a,b, a^2, b^2, mix of a,a^2,b,b^2, random
Summands
simple var/number, product of var/number
Sample problem
Yes, No

Similar problems

Remark
Description
Name and direct link
Expansion of simple binomic formulas
Apply binomic formula expansion rules to simplify term.
Expansion of binomic formulas with complex terms
Apply binomic formula expansion rules to simplify term. Advanced version mit multiples of variables as summands.

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
****
Extract binomic formula from term
A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.
Extract binomic formula from term
****
Simplify term with binomic formula, combine like terms
Simplify a term which contains a binomic formula
Simplify term with binomic formula, combine like terms


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Deutsche Version dieser Aufgabe
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