1.

Factorise8x³-y³-12x²y+6xy²

Answer» \textbf{Hey mate! }

\textbf{Solution:}

We will use the following IDENTITY,

➠ x³ - y³ - 3x²y + 3xy² = (X - y)³

Given,

➠ 8x³ - y³ - 12x²y + 6xy²

⇒ 2x³ - y³ - 3(2X)²(y) + 3(2x)(y)²

⇒(2x - y)³

⇒(2x - y)(2x - y)(2x - y)


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