Which answer shows 635,267 and 634,786 and 635,198 ordered from greatest to least? a) 635,198; 634,786; 635,267 b) 635,267; 635,198; 634,786 c) 634,786; 635,267; 635,198

Hello.

The answer is: B) 635,267; 635,198; 634,786

Its not C because C is sayig 634 is larger then 365 and it does the same with A saying 364 is bigger then 365.

Have a nice day

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