Look at the relationship between a and b. a 9 14 19 24 b 12 17 22 27 which equation below describes the relationship between a and b? a. b = 21 - a b. b = 1 × a c. b = 3 + a d. b = 108 ÷ a

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

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