Question

Factorise 8x3 + 27y3+36x2y+54xy2

Answer 1

8x^3 + 27y^3 +36x^2y + 54xy^2

=>(2x)^3 + (3y)^3 + 3 (2x)^2 (3y) + 3 (2x)(3y)^2

we know ,
(a + b)^3 = a^3 + b^3 + 3a^2b + 3ab^2

use this

=>(2x + 3y)^3

hence , factorization of given expression is (2x + 3y) , (2x + 3y) and (2x + 3y)

Answer 2

Answer:

FACTORISE:-

8x^3 + 27y^3+36x^2y+54xy^2

using the identities = (a+b)^3=   ( a^3)+(b^3)+(3a^2b)+(3ab^2)

(2x)^3+(3y)^3+3(2x)^2(3y)+3(2x)(3y)^2

= ( 2x+3y)^3  answer