1. Which of the sets of terms below does NOT include like terms? A. 9m, 9m, 7m
B. 1p, -7p, 7p
C. 30, -25, 25
D. 6x, 6y, 6z

9514 1404 393

  D.  6x, 6y, 6z

Step-by-step explanation:

Like terms have the same set of variables in each term. Choice D has 3 different variables in the 3 different terms, so the terms are not "like" terms.

  6x, 6y, 6z

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)