Question

a school designer wants to create a whiteboard with the optional dimensions to enhance learning. it is determined that one side of the whiteboard is x+2y inches and the other side should be x^2+6xy-5y^2 inches. Write an algebraic expression for the area of such whiteboard, simplify and include units..

Answer 1

so a whiteboard is a rectangle, in this case. Usually the formula is side x side. So start off by multiplying the two expressions together.

(x+2y)(x^2+6xy-5y^2)
\[2x ^{2}+6xy ^{2}-10y ^{3}+x ^{3}+6x ^{2}y-10xy ^{2}\]

Answer 2

Combine like terms. There are two. Make sure to place the expression in order from highest exponent to lowest so it's more organized.

\[x ^{3}+2x ^{2}-4xy ^{2}-10y ^{3}\]

That is your final answer.

Answer 3

^^ GOOD

Answer 4

Thank you alot!!

Answer 5

no problem =)