Doodles Do Algebra – Lesson 62

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Update: This Lesson Is Part of Book 3 of Doodles Do Algebra: “The Basic Math of Algebra” available on Amazon.

 

Worksheet:

Available in the book, “The Basic Math of Algebra, Book 3 of Doodles Do Algebra“

 

Today DoodlePoodle teaches your child how to use the distributive property (aka hippo hopping) when multiplying more than two polynomial terms together. It is a matter of multiplying the first two together and then multiplying that resultant polynomial by the next one and so on.

Answers:

1. (x-3)(x^2-6x+9)=x^3-6x^2+9x-3x^2+18x-27=x^3-9x^2+27x-27

2. It is easier if you rewrite these before solving.

(x-4)(x+4)(x-5)(x+5)=(x-4)(x+4)(x^2-25)=(x^2-16)(x^2-25)=x^4-39x^2+400

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