Question

factorise 8p3-12/5p2+6/25p-1/125

Answer 1

Given: The polynomial 8p^3 - 12/5p^2 + 6/25p - 1/125

To find: Factorise the given polynomial.

Solution:

• Now we have provided with the polynomial 8p^3 - 12/5p^2 + 6/25p - 1/125.

• So we can rewrite it as:

                (2p)³ + 3 x (2p)²  x 1/5 + 3 x 2p x (1/5)² + (1/5)³

• Now we know the identity:

               a³ + 3a²b + 3ab² + b³ = (a + b)³

                (2p)³ + 3 x (2p)²  x 1/5 + 3 x 2p x (1/5)² + (1/5)³ = (2p + 1/5)³

Answer:

                 So the factor of the polynomial 8p^3 - 12/5p^2 + 6/25p - 1/125  is (2p + 1/5)³.

Answer 2

• Step-by-step explanation:

I hope these answer is correct