Question

Factorize 6a^2-3b^2-c^2+7ab-ac+4bc

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Answer 1

$6a ^{2} - 3b ^{2} - c ^{2} + 7ab - ac + 4bc$
${(3a)}^{2} + ( \sqrt{3} b) ^{2} + {( - c)}^{2} + 2(3a)( \sqrt{3}b) + 2( \sqrt{3} b)( - c) + 2( - c)(3a)$
$(3a + \sqrt{3} b - c) ^{2}$