(x2+6x+8)(x2+14x+48)+12

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(x2+6x+8)(x2+14x+48)+12

=(x+2)(x+4)(x+6)(x+8)+12
=[(x+2)(x+8)][(x+4)(x+6)]+12
=(x²+10x+16)(x²+10x+24)+12
=(x²+10x+16)²+8(x²+10x+16)+12
=(x²+10x+16+2)(x²+10x+16+8)
=(x²+10x+18)(x²+10x+24)
=(x²+10x+18)(x+4)(x+6)