Factorize: 125x3 – 27y3 – 225x2y + 135xy2. – InterviewSolution

1.

Factorize: 125x3 – 27y3 – 225x2y + 135xy2.

Answer»

125x³ – 27y³ – 225x²y + 135xy²

Above expression can be written as (5x)³−(3y) ³−3(5x)²(3y) + 3(5x)(3y)²

Using: a³ − b³ − 3a²b + 3ab² = (a−b)³

= (5x − 3y)³

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