Factorize: 8x3 + 27y3 + 36x2y + 54xy2. – InterviewSolution

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1.

Factorize: 8x3 + 27y3 + 36x2y + 54xy2.

Answer»

8x³ + 27y³ + 36x²y + 54xy²

Above expression can be written as (2x)³ + (3y)³ + 3 x (2x)² x 3y + 3 x (2x)(3y)²

Which is similar to [a³ + b³ + 3a²b + 3ab² = (a + b)³ ]

Here a = 2x and b = 3y

= (2x+3y)³

Therefore, 8x³ + 27y³ + 36x²y + 54xy² = (2x+3y)³

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