Question

x3+6x2+12x+16 factorise

Answer 1

hyy mate here is ur answer

hope it's helps...

Answer 2

$x^3+6x^2+12x+16 \\ \\ x^3+6x^2+12x+8+8 \\ \\ x^3+3\cdot 2\cdot x^2+3\cdot 2^2\cdot x + 2^3 + 2^3 \\ \\ (x + 2)^3+2^3 \\ \\ (x+2+2)((x+2)^2-(x+2)2+2^2) \\ \\ (x+4)(x^2+4x+4 - (2x+4)+4) \\ \\ (x+4)(x^2+4x+4-2x-4+4) \\ \\ (x+4)(x^2+2x+4) \\ \\ (x+4)(x+\iota(\sqrt{3}+\iota))(x-\iota(\sqrt{3}+\iota)) \\ \\ (x+4)(x+\iota\sqrt{3}-1)(x-\iota\sqrt{3}+1)$

$Where \ \ \iota = \sqrt{-1}$

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