Michael is cooking dinner for 50 people. he can feed 10 people with one turkey. he wants each person to have turkey, 2 ears of corn, and one piece of pumpkin pie. how many turkeys, ears of corn, and pumpkin pies (cut into 5 pieces) should he prepare? explain.

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

can you post the graph?