计算下列各题(要写出必要的演算步骤.)(1)(﹣4a5b3)2÷(8a2b3)÷(﹣53a2);(2)(x+2)2﹣(x+3)(x﹣3);(3)[(2x+1)(
题型:解答题难度:一般来源:四川省期中题
计算下列各题(要写出必要的演算步骤.) (1)(﹣4a5b3)2÷(8a2b3)÷(﹣53a2); (2)(x+2)2﹣(x+3)(x﹣3); (3)[(2x+1)(4x+2)﹣2]÷(﹣8x); (4)化简、求值:[(2x﹣y)2+(2x+y)(2x﹣y)+8xy]÷2x,其中x=﹣3,y=2. |
答案
解:(1)(﹣4a5b3)2÷(8a2b3)÷(﹣53a2), =16a10b6÷(8a2b3)÷(﹣53a2), =2a8b3?(﹣53a2), =﹣106a10b3; (2)(x+2)2﹣(x+3)(x﹣3), =(x2+4x+4)﹣(x2﹣9), =x2+4x+4﹣x2+9, =4x+13; (3)[(2x+1)(4x+2)﹣2]÷(﹣8x), =(8x2+8x+2﹣2)÷(﹣8x), =(8x2+8x)÷(﹣8x), =﹣x﹣1; (4)[(2x﹣y)2+(2x+y)(2x﹣y)+8xy]÷2x, =(4x2﹣4xy+y2+4x2﹣y2+8xy)÷2x, =(8x2+4xy)÷2x, =4x+2y, 当x=﹣3,y=2时,原式=4×(﹣3)+2×2=8. |
举一反三
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