Question

Factorisation of 4x2-24xy+36y2

Answer 1

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Answer 2

Answer:

$4x^{2} - 24xy + 36xy^{2} \\ 36xy^{2} \times 4x^{2} = 144x^{3}y^{2} \\ factors \: of \: 144x^{3}y^{2} = so \: as \: we \: subtract \: or \: add \: the \: both \: factors \: to \: give \: as \: - 24xy \\ 12 \times 12 = - 12 - 12 = - 24 \\ 4x^{2} - 12xy - 12xy + 36xy^{2} \\ (4x^{2} - 12xy) - (12xy + 36xy^{2}) \\ (4x^{2} - 12xy) - (12xy - 36xy^{2}) \\ 4x(x - 3y) - 12xy(x - 3y) \\ (4x - 12xy)(x - 3y) \: ans.$

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