Acabinet filled with clothing weighs 27kg. the same cabinet filled with books weighs 132 kg. if the books weigh 8 times what the clothing weighs, how much does the cabinet weigh

- 27            -27

          8x = 105

          8x/8   =  105/8

x = 13.125

y/x=18

step-by-step explanation:

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