Question

Essay: Show all work. A school designer wants to create a whiteboard with the optimal dimensions to enhance learning. It is determined that if one side of the whiteboard is x + 2y inches, the other side should be inches. Write an algebraic expression for the area of such a whiteboard, simplify it, and include correct units with your solution.
So, I just want to make sure I have done this correctly.....
(x+2y)(x^2+6xy-5y^2)=
A= side 1 * side 2
Side 1= x+2y
Side 2= x^2+6xy-5y^2
A=(x+2y)(x^2+6xy-5y^2)
A=x^3+6x^2y-10y^3

Answer 1

the other side should be inches.

Answer 2

im thinking the expression didnt show due to copy paste
if you look at the work, its shown there

Answer 3

side 2?

Answer 4

\[x^3+8 x^2 y+7 x y^2-10 y^3\] is right

Answer 5

\[(x+2y)(x^2+6xy-5y^2)= x(x^2+6xy-5y^2)+2y(x^2+6xy-5y^2)\]

Answer 6

by which i mean
\[(x+2y)(x^2+6xy-5y^2)=x^3+8 x^2 y+7 x y^2-10 y^3\]

Answer 7

in other words, everything but your final solution is correct

Answer 8

ok, I'm really blonde here lol. where did the 8x2y come from?

Answer 9

\[x(x^2+6xy−5y^2)+2y(x^2+6xy−5y^2)\]
\[x^3+6x^2y−5xy^2+2x^2y+12xy^2−10y^3\]

\[x^3+(6x^2y+2x^2y)−5xy^2+12xy^2−10y^3\]

Answer 10

oh, ok I get it... thank you so much for breaking that down for me!!

Answer 11

its just distribution and then simplify

Answer 12

thanks again:)