Mr. Bins sold 1 2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1 5 of his original farm land. How big was his farm originally? How much land does he have now?

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol

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