I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 1.4 : Polynomials
8. Perform the indicated operation and identify the degree of the result.
\[3{\left( {10 - 4{y^3}} \right)^2}\]Show All Steps Hide All Steps
Start SolutionRemember that this is just another way of writing,
\[3{\left( {10 - 4{y^3}} \right)^2} = 3\left( {10 - 4{y^3}} \right)\left( {10 - 4{y^3}} \right)\]Now all we need to do is foil out the two polynomials. Here is the result of doing that.
\[3{\left( {10 - 4{y^3}} \right)^2} = 3\left( {10 - 4{y^3}} \right)\left( {10 - 4{y^3}} \right) = 3\left( {100 - 80{y^3} + 16{y^6}} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{300 - 240{y^3} + 48{y^6}}}\]Be careful with dealing with the three! Make sure you take care of the exponent first (i.e. make sure you multiply out the product first) before you multiply the three through the result.
Show Step 2Remember the degree of a polynomial is just the largest exponent in the polynomial and so the degree of the result of this operation is six.