Quickname: 1444

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

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

Simplify a term which contains a binomic formula

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.

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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

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.

Name

Title

Description

Binomic formulas: Advanced applications

Use the binomic formulas to simplify and expand terms.

Relevance

Name

Description

Quickname

Example

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Expand and simplify binomic formula, advanced

Apply binomic formula expansion rules to simplify term. Advanced version mit multiples of variables as summands.

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Extract binomic formula from term

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

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Examine the elements of binomic formulas

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

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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.

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