Other bracket expansions Slideshow 12, Mathematics Mr Sasaki, Room 307.

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Presentation transcript:

Other bracket expansions Slideshow 12, Mathematics Mr Sasaki, Room 307

Objectives Review and understand Pascal’s triangleReview and understand Pascal’s triangle Expand brackets with fractionsExpand brackets with fractions Expand brackets with decimalsExpand brackets with decimals

Polynomial Forms As you know, polynomials are in the form… And they have a finite number of terms (not infinite). Smaller polynomials have special names. MonomialBinomial Trinomial The focus of this lesson is multiplying binomials. Last lesson we saw a pattern named Pascal’s Triangle.

Binomial Expansion The triangle can continue downwards further. Hopefully you understand the number pattern!

Binomial Expansion The triangle refers to the coefficients of each term.

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Brackets with Fractions Sometimes, we also need to multiply binomials with fractions. The process is the same, just we need to think about fractions! Example

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Other Brackets with Fractions Obviously brackets that aren’t squared work as you would expect. Example

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Brackets with Decimals Multiplying decimals isn’t hard! Example

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Example

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