Alexa, I answered this for you yesterday
http://www.jiskha.com/display.cgi?id=1455679992
Your expansion is correct, but as I stated yesterday , why not just leave the answer as
Volume = (5a+4b)^3
For any given value of a and b, it would be so much easier to find the volume from the factored form, than from the expanded form.
A manufacturer of shipping boxes has a box shaped like a cube. The side length is
(5a + 4b). What is the volume of the box in terms of a and b? Show your work.
(5a+4b)^3 =(5a+4b)(5a+4b)(5a+4b) =(25a2+40ab+16b2)(5a+4b) = 125a^3 + 100a^2b + 200a^2b + 160ab^2 + 80ab^2 + 64b^3 = 125a^3 + 300a^2b + 240ab^2+ 64b^3
is this correct as an answer?
2 answers
okay..But why does it say show your work? how would I show it?