已知x=y+3,求代数式的值。
4分之一(x-y)的平方-0.3(x-y)+0.75(x-y)的平方+10分之3(x-y)-2(x-y)+7的值...
4分之一(x-y)的平方-0.3(x-y)+0.75(x-y)的平方+10分之3(x-y)-2(x-y)+7的值
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x=y+3
则x-y=3
4分之一(x-y)的平方-0.3(x-y)+0.75(x-y)的平方+10分之3(x-y)-2(x-y)+7
=1/4*(x-y)^2-0.3(x-y)+0.75(x-y)^2+3/10*(x-y)-2(x-y)+7
=1/4*(x-y)^2-3/10*(x-y)+3/4*(x-y)^2+3/10*(x-y)-2(x-y)+7
=(1/4+3/4)*(x-y)^2-2(x-y)+7
=(x-y)^2-2(x-y)+7
=(x-y)(x-y-2)+7
=3*(3-2)+7
=3+7
=10
则x-y=3
4分之一(x-y)的平方-0.3(x-y)+0.75(x-y)的平方+10分之3(x-y)-2(x-y)+7
=1/4*(x-y)^2-0.3(x-y)+0.75(x-y)^2+3/10*(x-y)-2(x-y)+7
=1/4*(x-y)^2-3/10*(x-y)+3/4*(x-y)^2+3/10*(x-y)-2(x-y)+7
=(1/4+3/4)*(x-y)^2-2(x-y)+7
=(x-y)^2-2(x-y)+7
=(x-y)(x-y-2)+7
=3*(3-2)+7
=3+7
=10
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