Question

Hey guys, please answer the following question:

The area of a rectangle is (27x^3 - 1) sq units . If it's breadth is (3x - 1) units, find it's length.



​

Answer 1

Answer:

Length =  9x^2 + 3x + 1

Step-by-step explanation:

Identity= a3 – b3 = (a – b) (a2 + ab + b2 )

27x3 - 1 = (3x)^3 - 1^3

= (3x-1) × [ (3x)^2 + (3x)(1) + (1)^2 ]

= (3x-1) × (9x^2+3x+1)

Length=area/breadth

= (3x-1)(9x^2+3x+1) / (3x-1)

= (9x^2+3x+1) units