Question

Factorise the polynomial: 8x3-27. ​

Answer 1

First you have to subtract 3 and 27 you will get -24 now multiply 8 and -24 you will get -72

Answer 2

Step-by-step explanation:

Given :-

8x³-27

To find :-

Factorise the polynomial ?

Solution :-

Given that

8x³-27

=> 2³x³-3³

=> (2x)³-3³

This is in the form of a³-b³

Where, a = 2x and b = 3

We know that

a³-b³ = (a-b)(a²+ab+b²)

Now,

(2x)³-3³

=> (2x-3)[(2x)²+(2x)(3)+3²]

=> (2x-3)(4x²-6x+9)

8x³-27 = (2x-3)(4x²-6x+9)

Answer:-

The factorization of 8x³-27 is (2x-3)(4x²-6x+9)

Used formulae:-

→ a³-b³ = (a-b)(a²+ab+b²)