Eva is short on frosting! She works in a bakery and has 12 cakes to frost, but she is short 418 cups on the amount of frosting required. She decides that she will spread the frosting she has among the 12 cakes. She makes a sign for the cakes and names them by the value that represents the amount of frosting on each cake compared to the amount it should have. What does the sign say?

its 8

step-by-step explanation:

2,160 π

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb