(x^2+6x+8)(x^2+14x+48)+12
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x^2 + 6x + 8)(x^2 + 14x + 48) + 12
=(x + 4)(x + 2)(x + 6)(x + 8) + 12
=(x + 4)(x + 6)(x + 2)(x + 8) + 12
=(x^2 + 10x + 24)(x^2 + 10x + 16) + 12
=(x^2 + 10x)^2 + 40(x^2 + 10x) + 16 * 24 + 12
=(x^2 + 10x)^2 + 40(x^2 + 10x) + 396
=(x^2 + 10x + 22) * (x^2 + 10x + 18)
=(x^2 + 10x + 25 - 3) * (x^2 + 10x + 25 - 7)
=((x + 5)^2 - 3) * ((x + 5)^2 - 7)
=(x + 5 + √3) * (x + 5 - √3) * (x + 5 + √7) * (x + 5 - √7)
=(x + 4)(x + 2)(x + 6)(x + 8) + 12
=(x + 4)(x + 6)(x + 2)(x + 8) + 12
=(x^2 + 10x + 24)(x^2 + 10x + 16) + 12
=(x^2 + 10x)^2 + 40(x^2 + 10x) + 16 * 24 + 12
=(x^2 + 10x)^2 + 40(x^2 + 10x) + 396
=(x^2 + 10x + 22) * (x^2 + 10x + 18)
=(x^2 + 10x + 25 - 3) * (x^2 + 10x + 25 - 7)
=((x + 5)^2 - 3) * ((x + 5)^2 - 7)
=(x + 5 + √3) * (x + 5 - √3) * (x + 5 + √7) * (x + 5 - √7)
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