Question

Factorize 8x3+27y3+36x2y+5xy2​

Answer 1

Answer:

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)

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