Pythagorean theorem???

y=7

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + y^2 = (sqrt(85))^2

36 + y^2 = 85

Subtract 36 from each side

36-36 +y^2 = 85-36

y^2 =49

Take the square root of each side

sqrt(y^2) = sqrt(49)

y = 7

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