括号x加1乘以括号x加3乘以括号x加5乘以括号x加7减20

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 19:20:36
括号x加1乘以括号x加3乘以括号x加5乘以括号x加7减20

括号x加1乘以括号x加3乘以括号x加5乘以括号x加7减20
括号x加1乘以括号x加3乘以括号x加5乘以括号x加7减20

括号x加1乘以括号x加3乘以括号x加5乘以括号x加7减20
原式=[(x+1)(x+7)][(x+3)(x+5)]-20
=(x^2+8x+7)(x^2+8x+15)-20
=(x^2+8x+7)^2+8(x^2+8x+7)-20
=(x^2+8x+7+10)(x^2+8x+7-2)
=(x^2+8x+17)(x^2+8x+5)
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