Polynomials-Solving Applications

Algebra
Tutor: None Selected Time limit: 1 Day

(r^2-t^2)(r^2+t^2)

Find the product

Sep 27th, 2015

Thank you for the opportunity to help you with your question!

We use FOIL to solve this:  (First, Outer, Inner, Last)

First:  r² times r²  which gives us r^4

Outer: r² times -t²  which gives us -r²t²

Inner:  t² times r²  which gives us r²t²

Last:  t² times -t²  which gives us -t^4

We combine like terms and see that the middle two terms (outer and inner) cancel out.  We get

r^4 - t^4

Hope that helps.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 27th, 2015

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