Question

Facrorise 12x^3+34x^2+10x

Answer 1

Answer :

${12x}^{3} + {34x}^{2} + 10x \\ \\ factor \: out \: 2 \: from \: the \: expression \\ \\ 2x( {6x}^{2} + 17x + 5) \\ \\ split \: the \: middle \: value \\ \\ 17x \: \: can \: \: be \: \: written \: \: as \: 15x + 2x \\ \\ = > 2x( {6x}^{2} + 15x + 2x + 5) \\ \\ factor \: out \: 3 \: from \: the \: expression$

$2x(3x(2x + 5) + 2x + 5) \\ \\ factor \: out \: 2x + 5 \: from \: the \: expression \\ \\ 2x(2x + 5)(3x + 1)$

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