Question

factorise 8a^3-36a^2+54a-27​

Answer 1

Step-by-step explanation:

8a^3-36a^2+54a-27

(2a)^3-3(2a)^2(3)+3(2a)(3)^2+(3)^2

(2a-3)^3

Answer 2

Given,

The main term of factorization is = 8a³-36a²+54a-27

To find,

The final answer of the factorization of the given term.

Solution,

We can easily solve this mathematical problem by using the following mathematical process.

Here, we have to just simplify the given term in such a way so that we can apply the algebraic formula.

Factorization :

= 8a³-36a²+54a-27

= (2a)³- (3×2a×2a×3) + (3×2a×3×3) - (3)³

= (2a-3)³ [ satisfies the (a-b)³ formula ]

(This cannot be further simplified, so we have to take this as the final result of the factorization.)

Hence, the final result of the factorization is (2a-3)³