Question

factorise:3xsquare+8xy+4ysquare

Answer 1

Answer


$given \: = \: {3x}^{2} + 8xy + {4y}^{2} \\ \\ = > \: write \: 8xy \: as \: a \: sum \\ \\ = > \: {3x}^{2} + 6xy + 2xy + {4y}^{2} \\ \\ = > \: factor \: out \: 3x \\ \\ = > \: 3x(x + 2y) + 2xy + {4y}^{2} \\ \\ = > \: factor \: out \: 2y \\ \\ = > \: 3x(x + 2y) + 2y(x + 2y) \\ \\ = > \: factor \: out \: x + 2y \\ \\ = > \: (x + 2y)(3x + 2y)$



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