Write each expression with fewer terms. Show or explain your reasoning. I 1. 3 . 15 + 4 • 15 - 5 - 15 2. 3x + 4x – 5x 3. 3(x - 2) + 4(x - 2) – 5(x - 2) - 4. 3lax + 6) + 45 x + 6+) - 5(x+61) 6- x + 6 + 3 2

where are the choices?

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation:

i believe the answer is c.

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)