Answer: Factoring: 27-u3
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 : 27 is the cube of 3
Check : u3 is the cube of u1
Factorization is :
(3 - u) • (9 + 3u + u2)
Step-by-step explanation:
