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Details for problem "Extract binomic formula from term"

Quickname: 1825

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

Summary

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

Example


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

ParameterPossible values
Number of problems1, 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 ofproduct,sum,difference, product, sum, sum,difference
Other termvariable,number, variable, number
Provide hintYes, No

Similar problems

RemarkDescriptionName and direct link
factorisation of a generic termFactorise a term with variablesFactorisation of terms
opposite problemSimplify a term which contains a binomic formulaSimplify term with binomic formula, combine like terms



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