Jody is making a mosaic. She places two pieces along an edge
as shown. She needs a third piece to fill the space
between these two pieces. What size corner-angle does the
third piece need to have in order to fill the space with no gaps?

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

you divide them and then you get the answer i took this class this year

step-by-step explanation: