Question

factorize
${x}^{2} - {y}^{2} - 5 + 4x - 6y$

Answer 1

${x}^{2} - {y}^{2} - 5 + 4x - 6y \\ write \: - 5 \: as \: - 9 + 4 \\ ( {x}^{2} + 4 + 4x) - ( {y}^{2} + 9 + 6y) \\ = (( {x}^{2} ) + {2}^{2} + 2.2.x) - (( {y}^{2} + {3}^{2} + 2.3.y) \\ (x + 2)^{2} - {(y + 3)}^{2}$
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