Question

x^2+5x+6 factorise algebraic expressions​

Answer 1

${x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2) \: (x + 3) = 0$

When,

x + 2 = 0

x = - 2

When,

x + 3 = 0

x = - 3

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Answer 2

Answer:

$= > {x}^{2} + 5x + 6 \\ \\ = > {x}^{2} + (3 + 2)x + 6 \\ \\ = > {x}^{2} + 3x + 2x + 6 \\ \\ = > x(x + 3) + 2(x + 3) \\ \\ = > (x + 3)(x + 2)$