3 years ago

SIMPLE QUESTION PLEASE HELP :(

Mathematics

1 answer:

Slav-nsk [51]3 years ago

3 0

Trying to factor as a Difference of Cubes:

1.1 Factoring: x3-216

Theory:

A difference of two perfect cubes, a3 - b3 can be factored into
 (a-b) • (a2 +ab +b2)

Proof : (a-b)•(a2+ab+b2) =
 a3+a2b+ab2-ba2-b2a-b3 =
 a3+(a2b-ba2)+(ab2-b2a)-b3 =
 a3+0+0+b3 =
 a3+b3

Check: 216 is the cube of 6
Check: x3 is the cube of x1

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