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Quickname: 1444

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

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. | Expand and simplify binomic formula |

opposite problem | A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand. | Extract binomic formula from term |

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