Geometry - Segment Addition
What's BD?​

4

Step-by-step explanation:

First you solve for x

3x-1 = 2x-4+2x-3-2

3x-1 = 4x-5

You get 4 = x

substitute 4 for x

2(4)-4

8-4

=4

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