Question

Factorise 6xsquare - 9xsquare y +12 x y square

Answer 1

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Factorise —

♦ 6x² - 9x²y + 12xy²

[ Here, we need to find the common factors from each of the numbers ]

[ (3×2×x×x) - (3×3×x×x×y) + (3×2×2×x×y×y) ]

[ So, the common factor factor from each numbers is 3x ]

Answer,

= 3x(2x-3xy+4y²)

Answer 2

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♦ 6x² - 9x²y + 12xy²

[ Here, we need to find the common factors from each of the numbers ]

[ (3×2×x×x) - (3×3×x×x×y) + (3×2×2×x×y×y) ]

[ So, the common factor factor from each numbers is 3x ]

Answer,

= 3x(2x-3xy+4y²)