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Details for problem "Simplify term with binomic formula, combine like terms"

Quickname: 1444

Suitable for grades: Grade 6, Grade 7, Grade 8

Summary

Simplify a term which contains a binomic formula

Example


Description

Use your knowledge about the parentheses and expanded form of binomic formulas to quickly expand a term. Then combine like terms to obtain a shorter term. A complex term ist given. The task is to expand all products and simplify the term by combining like terms. Part of the term is an easily recognizable binomic formula. Expand the binomic formular, perform other operations and expansions as required and combine like terms. 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 fact that a binomic formular appears in the term can be selected to be mentioned or omitted. The type of term the binomic formula will be an operand of can be specified. Variables that appear will always be named a and b or x and y.

Topics: Algebra

Tags: Polynom, 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
Second term
variable,number, variable, number
Mention binomic formulas
Yes, No

Similar problems

Remark
Description
Name and direct link
just expand and simplify
Apply binomic formula expansion rules to simplify term.
opposite problem
A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.

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
****
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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