作业帮(x-2)(x+4)(x-5)(x-n)+m为完全平方式,求m的值
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(x-2)(x+4)(x-5)(x-n)+m为完全平方式,求m的值
(x-2)(x+4)(x-5)(x-n)+m为完全平方式,求m的值
(x-2)(x+4)(x-5)(x-n)+m为完全平方式,求m的值
题目错了,正确的题目如下
(x-2)(x+4)(x-5)(x-11)+m
=[(x-2)(x-5)][(x+4)(x-11)]+m
=(x^2-7x+10)(x^2-7x-44)^2+m
=(x^2-7x)^2-34(x^2-7x)+17^2-17^2-440+m
=(x^2-7x)^2-34(x^2-7x)+17^2-17^2-440+m
=(x^2-7x-17)^2+(-17^2-440+m)
m=17^2+440=729
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