先化简,再求值:(x+y)(2x-y)-(x+2y)(x-2y),其中x=3,y=4
先化简,再求值:(x+y)(2x-y)-(x+2y)(x-2y),其中x=3,y=4....
先化简,再求值:(x+y)(2x-y)-(x+2y)(x-2y),其中x=3,y=4.
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AK_瑫R
2015-01-02
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(x+y)(2x-y)-(x+2y)(x-2y) =2x 2 -xy+2xy-y 2 -(x 2 -4y 2 ) =2x 2 -xy+2xy-y 2 -x 2 +4y 2 =x 2 +xy+3y 2 ; 把x=3,y=4代入得, 原式=3 2 +3×4+3×4 2 =9+12+3×16 =21+48 =69. |
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