If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ABC - ADE by AA similarity postulate? Translate triangle ABC so that point C lies on point D to confirm
Dilate triangle ABC from point A by the ratio AD/AB to confirm AD~AB

Translate triangle ABC so that point B Lies on point D to confirm
Dilate triangle ABC from point A by the ratio AE/AC to confirm AE~AC

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)

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation:

add 8+12 to get a simplified answer of 12r-20