Question

factorise the polynomial: 27a³+8b³+54a²b+36ab²

Answer 1

Hii there!!!

27a^3+8b^3+54a^2b+36ab^2
= (3a)^3+(2b)^3+3 (3a)^2 (2b)+3 (3a)(2b)^2
=(3a+2b)^3

Answer 2

SOLUTION:

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

GIVEN:

27a³+8b³+54a²b+36ab²

FIND:

factorise the polynomial: 27a³+8b³+54a²b+36ab²

Solution:

27a³+8b³+54a²b+36ab²

= (3a)³+(2b)³+3 (3a)² (2b)+3 (3a)(2b)²

=(3a+2b)³

Therefore, factorisation of the polynomial: 27a³+8b³+54a²b+36ab² =(3a+2b)³

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