Which expression is equivalent to RootIndex 3 StartRoot 32 x Superscript 8 Baseline y Superscript 10 Baseline EndRoot? 4 x squared y cubed (RootIndex 3 StartRoot 2 x squared y EndRoot) 2 x Superscript 4 Baseline y Superscript 5 Baseline (RootIndex 3 StartRoot 4 EndRoot) 2 x squared y cubed (RootIndex 3 StartRoot 4 x squared y EndRoot) 4 x Superscript 4 Baseline y Superscript 5 Baseline (RootIndex 3 StartRoot 2 EndRoot)

this is not the answer this is just a question. is this middle school math?

step-by-step explanation:

idk

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)