A rectangular piece of paper with length 36 cm and width 16 cm has two semicircles cut out of it, as shown below. Find the area of the paper that remains. Use the value 3.14 for it, and do not round your answer.

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

step-by-step explanation:

deez nut

this "question" looks more like a project is there any other info you can give me about this. it could be too complex for someone else to do on this website