先化简,后求值
先化简,后求值:其中m=1/2,n=-1/2求(4m^8-2m^6*n^6+n^8)-(2m^8-2m^6*n^6-n^8)-(m^2-n^2)(m^2+n^2)^2...
先化简,后求值:其中m=1/2,n=-1/2 求(4m^8-2m^6*n^6+n^8)-(2m^8-2m^6*n^6-n^8)-(m^2-n^2)(m^2+n^2)^2
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先化简,后求值:其中m=1/2,n=-1/2 求(4m^8-2m^6*n^6+n^8)-(2m^8-2m^6*n^6-n^8)-(m^2-n^2)(m^2+n^2)^2
(4m^8-2m^6*n^6+n^8)-(2m^8-2m^6*n^6-n^8)-(m^2-n^2)(m^2+n^2)^2
=4m^8-2m^6*n^6+n^8-2m^8+2m^6*n^6+n^8-m^8+2m^4n^4-n^8
=m^8+2m^4n^4+n^8
=(m^4+n^4)²
=[(1/2)^4+(-1/2)^4]²
=(1/16+1/16)²
=(1/8)²
=1/64
(4m^8-2m^6*n^6+n^8)-(2m^8-2m^6*n^6-n^8)-(m^2-n^2)(m^2+n^2)^2
=4m^8-2m^6*n^6+n^8-2m^8+2m^6*n^6+n^8-m^8+2m^4n^4-n^8
=m^8+2m^4n^4+n^8
=(m^4+n^4)²
=[(1/2)^4+(-1/2)^4]²
=(1/16+1/16)²
=(1/8)²
=1/64
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