Question

hi friends please solve this problem​

Answer 1

Question number 1:-

${x}^{2} + 6x + 8$

$= {x}^{2} + 2x + 4x + 8$

$= x(x + 2) + 4(x + 2)$

$= (x + 2)(x + 4)$

Question number 2:-

$5 {x}^{2} - 7x + 2$

$= 5 {x}^{2} - 5x - 2x + 2$

$= 5x(x - 1) - 2(x - 1)$

$(5x - 2)(x - 1)$

Question number 3:-

${x}^{3} - 6 {x}^{2} + 11x - 6$

$= {x}^{3} - {x}^{2} - 5 {x}^{2} + 5x + 6x - 6$

$= {x}^{2} (x - 1) - 5x(x - 1) + 6(x - 1)$

$= ( {x}^{2} - 5x + 6)(x - 1)$

$= ( {x}^{2} - 3x - 2x + 6)(x - 1)$

$= (x(x - 3) - 2(x - 3))(x - 1)$

$= (x - 1)(x - 2)(x - 3)$

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