Quickname: 1825

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

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

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

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.

Tags: Polynom Quadratic functions Rules Terms

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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

Other term

variable,number, variable, number

Provide hint

Yes, No

Remark

Description

Name and direct link

Opposite problem

Simplify a term which contains a binomic formula

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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Simplify term with binomic formula, combine like terms

Simplify a term which contains a binomic formula

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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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