Question

Factorise 4x2 + 2x – 3y + 9y2 – 12xy.​

Answer 1

$\textit{\large{\underline{\underline{\pink{Step by step Explanation:-}}}}}$

$4x {}^{2} + 2x - 3y + 9y {}^{2} - 12xy \\ = (2x) {}^{2} + (3y) {}^{2} - 12xy + 2x - 3y \\ = (2x - 3y) {}^{2} + (2x - 3y) \\ = (2x - 3y)(2x - 3y) + (2x - 3y) \\ = (2x - 3y)(2 x - 3y + 1)$

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