Try the fastest way to create flashcards
Question

Use FOIL to find the product

(5y3w2+z)(2y3w2+3z)\left(5 y^3 w^2+z\right)\left(2 y^3 w^2+3 z\right)

Solution

Verified
Answered 2 years ago
Answered 2 years ago

Expression:

(5y3w2+z)(2y3w2+3z)\begin{equation*} (5y^3w^2 + z)(2y^3w^2 +3z) \end{equation*}

Expand using FOIL method:

=5y3w2(2y3w2)+z(2y3w2)+5y3w2(3z)+z(3z)\begin{equation*} =5y^3w^2(2y^3w^2) + z(2y^3w^2)+5y^3w^2(3z)+z(3z) \end{equation*}

Simplify using product of power property where required:

=10y6w4+2y3w2z+15y3w2z+3z2\begin{equation*} =10y^6w^4 + 2y^3w^2z+15y^3w^2z+3z^2 \end{equation*}

Perform the indicated operation between like terms to simplify:

=10y6w4+17y3w2z+3z2\begin{equation*} =10y^6w^4 + 17y^3w^2z+3z^2 \end{equation*}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Elementary and Intermediate Algebra 4th Edition by Mark Dugopolski

Elementary and Intermediate Algebra

4th EditionISBN: 9780073384351 (8 more)Mark Dugopolski
5,786 solutions
enVision Algebra 1 1st Edition by Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek

enVision Algebra 1

1st EditionISBN: 9780328931576Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek
3,653 solutions
Algebra 1 4th Edition by Saxon

Algebra 1

4th EditionISBN: 9781602773011Saxon
5,377 solutions
Big Ideas Math Integrated Mathematics II 1st Edition by Boswell, Larson

Big Ideas Math Integrated Mathematics II

1st EditionISBN: 9781680330687Boswell, Larson
4,539 solutions

More related questions