A stock's value changed by -15.75 from the previous day. Which statement describes the difference in the stock's value? A. The value is $15.75 less because ∣−15.75∣ = 15.75

B. The value is $15.75 more because ∣−15.75∣ = 15.75

C. The value is $15 less because ∣−15.75∣ = 15

D. The value is $15 more because ∣−15.75∣ = 15

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)

is there more to this question?