分解因式(1)(x+1)(x+3)(x+5)(x+7)+15
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(x+1)(x+3)(x+5)(x+7)+15
=(x+1)(x+7)(x+3)(x+5) +15
=(x²+8x+7)(x²+8x+15)+15
=(x²+8x+7)(x²+8x+7+8)+15
=(x²+8x+7)²+8(x²+8x+7)+15
=(x²+8x+7+3)(x²+8x+7+5)
=(x²+8x+10)(x+2)(x+6)
= (x+4+√6) (x+4-√6)(x+2)(x+6)
=(x+1)(x+7)(x+3)(x+5) +15
=(x²+8x+7)(x²+8x+15)+15
=(x²+8x+7)(x²+8x+7+8)+15
=(x²+8x+7)²+8(x²+8x+7)+15
=(x²+8x+7+3)(x²+8x+7+5)
=(x²+8x+10)(x+2)(x+6)
= (x+4+√6) (x+4-√6)(x+2)(x+6)
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