Question

Factorise : 27x 3 + 64

Answer 1

Answer:

The factored form of x3 – 64 is (x – 4)(x2 + 4x + 16). The factored form of 27x3 – 8y3 is (3x – 2y)(9x2 + 6xy + 4y2). Notice that the basic construction of the factorization is the same as it is for the sum of cubes; the difference is in the + and – signs.

Answer 2

Answer:

On factorising 27x³ + 64, we get:

(3x + 4)(9x² - 12x + 16)

Step-by-step explanation:

$27x^3 + 64\\\\=(3x)^3 + (4)^3\\\\=a^3 + b^3 = (a+b)(a^2 - ab + b^2)\\\\= (3x+4)([3x]^2 - [3x][4] + [4]^2)\\\\=(3x+4)(9x^2 - 12x + 16)$