Math, asked by vishuparashar, 4 months ago

factorise 27x3-8y3-54x2y+36xy2

Answers

Answered by spiderman2019

5

Answer:

Step-by-step explanation:

27x3-8y3-54x2y+36xy2

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

//The above is of form (a - b)³ = a³ - 3a²b + 3ab² - b³

=> (3x - 2y)³

Answered by sandhugurwinde728gs

1

27x3+54x2y+36xy2+8y3

.

27x3+54x2y+36xy2+8y3 is a perfect cube which means it is the cube of another polynomial

In our case, the cubic root of 27x3+54x2y+36xy2+8y3 is 3x+2y

Factorization is (3x+2y)3

Final result :

(3x + 2y)3

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