计算:①[(2x-3y) 2 ] 3 (3y-2x) 3 (3y-2x) 4 (结果用幂的形式表示)②(x-3y)(x+3y)-(x-3y)
计算:①[(2x-3y)2]3(3y-2x)3(3y-2x)4(结果用幂的形式表示)②(x-3y)(x+3y)-(x-3y)2③97×103+99×99④(x-2)(x+...
计算:①[(2x-3y) 2 ] 3 (3y-2x) 3 (3y-2x) 4 (结果用幂的形式表示)②(x-3y)(x+3y)-(x-3y) 2 ③97×103+99×99④(x-2)(x+2)(x 2 +4)⑤(2x+y-3z)(2x-y+3z)⑥(3x-2y) 2 -3(3x-y)(3x+y)⑦(2m-3n)(2m+3n)(4m 2 -9n 2 )
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①[(2x-3y) 2 ] 3 (3y-2x) 3 (3y-2x) 4 (结果用幂的形式表示) =(2x-3y) 6 (3y-2x) 7 =(3y-2x) 6 (3y-2x) 7 =(3y-2x) 13 ; ②(x-3y)(x+3y)-(x-3y) 2 =x 2 -(3y) 2 -(x 2 -6xy+9y 2 ) =x 2 -9y 2 -x 2 +6xy-9y 2 =-18y 2 +6xy; ③97×103+99×99 =(100-3)(100+3)+(100-1) 2 =100 2 -9+10000+1-200 =10000-9+10000+1-200 =19792; ④(x-2)(x+2)(x 2 +4) =(x 2 -4)(x 2 +4) =x 4 -16; ⑤(2x+y-3z)(2x-y+3z) =[2x+(y-3z)][2x-(y-3z)] =(2x) 2 -(y-3z) 2 =4x 2 -(y 2 -6yz+9z 2 ) =4x 2 -y 2 +6yz-9z 2 ; ⑥(3x-2y) 2 -3(3x-y)(3x+y) =9x 2 -12x+4y 2 -3(9x 2 -y 2 ) =9x 2 -12x+4y 2 -27x 2 +3y 2 =-18x 2 +7y 2 -12x; ⑦(2m-3n)(2m+3n)(4m 2 -9n 2 ) =(4m 2 +9n 2 )(4m 2 -9n 2 ) =16m 4 -81n 4 . |
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