因式分解:
问题描述:
因式分解:
1.2(x²+6x+1)²+5(x²+1)(x²+6x+1)+2(x²+1)²
2.(x+1)(x+3)(x+5)(x+7)+15
看答案看了半天也没搞懂,唉,我初高中脱节了
答
第一题(2(x²+6x+1)+(x²+1))*((x²+6x+1)+2(x²+1))
第二题 ((x+1)(x+7))((x+3)(x+5))+15
=(x²+8x+7)(x²+8x+15)+15
=(x²+8x+7)(x²+8x+15)+8(x²+8x+15)-8(x²+8x+15)+15
=(x²+8x+15)²-8(x²+8x+15)+15
=(x²+8x+15-3)(x²+8x+15-5)