The diagram represents a large mandrian-style painting. Different sizes of the painting and different colors can be ordered. Determine the value of x, in feet, that will make the area of the painting 56 square feet, and then determine the dimensions of the painting.

ab will be equal to

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

i don't know

step-by-step explanation: