已知x²+xy=3,xy+y²=-2,求下列各式的值(1)x²-y²;(2)x²+4xy+3y²;
已知x²+xy=3,xy+y²=-2,求下列各式的值(1)x²-y²;(2)x²+4xy+3y²;(3)2x&...
已知x²+xy=3,xy+y²=-2,求下列各式的值(1)x²-y²;(2)x²+4xy+3y²;(3)2x²-xy-3y²需要过程。
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2014-01-10 · 知道合伙人教育行家
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(1)x²-y²
=(x²+xy)-(xy+y²)
=3-(-2)
=5
(2)x²+4xy+3y²
=(x²+xy)+3(xy+y²)
=3+3×(-2)
=3-6
=-3
(3)2x²-xy-3y²
=2(x²+xy)-3(xy+y²)
=2×3-3×(-3)
=6+9
=15
=(x²+xy)-(xy+y²)
=3-(-2)
=5
(2)x²+4xy+3y²
=(x²+xy)+3(xy+y²)
=3+3×(-2)
=3-6
=-3
(3)2x²-xy-3y²
=2(x²+xy)-3(xy+y²)
=2×3-3×(-3)
=6+9
=15
追答
(1)x²-y²
=(x²+xy)-(xy+y²)
=3-(-2)
=5
(2)x²+4xy+3y²
=(x²+xy)+3(xy+y²)
=3+3×(-2)
=3-6
=-3
(3)2x²-xy-3y²
=2(x²+xy)-3(xy+y²)
=2×3-3×(-2)
=6+6
=12
(前面看错了一个数字,呵呵)
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x²-y²=x² + xy - ( xy + y² ) = 3 + 2 = 5x²+4xy+3y² = x²+xy+3(xy+y²)=3-6=-3
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