Try it: Segment Addition and Construction 20
POSSIBLE POINTS: 3.33
D
3x - 1 E
13
F
E is between D and F. Find
6x
Which equation correctly uses the Segment Addition Postulate for this scenario?
A
(32 – 1) + 13 = 62
B.
6x + 13 = 33 - 1
С
(3x - 1) +63 = 13
D
(3x - 1) = 13
1
2
3
Next

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)