整式的混合运算专项练习99题

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整式的混合运算专项练习99题(有答案)

(1)﹣(2x2y3)²•(xy)3

(2)5x2(x+1)(x﹣1)

(3)x(y﹣x)+(x+y)(x﹣y);

(4)(a+2b)2+4ab3÷(﹣ab).

(5)3(a2)3•(a3)2﹣(﹣a)2(a5)2

(6)(5mn﹣2m+3n)+(﹣7m﹣7mn)

(7)(x+2)2﹣(x+1)(x﹣1)

(8)(x+2)2﹣(2x)2;

(9)(2a+3b)2﹣4a(a+3b+1).

(10)(﹣2xy2)2•3x2y÷(﹣x3y4)

(11)(x+1)2+2(1﹣x)

(12)(﹣a3)2•(﹣a2)3;

(13)[(﹣a)(﹣b)2•a2b3c]2;

(14);(15)(x3)2÷x2÷x+x3÷(﹣x)2•(﹣x2).(16)(﹣3x2)3•(﹣4y3)2÷(6x2y)3;

(17)(﹣x﹣y)2﹣(2y﹣x)(x+2y)

(18)

(19)(a+b)(﹣b+a)+(a+b)2﹣2a(a+b)(20);(21)x(x+1)﹣(2x+1)(2x﹣3);

(22)(2a+3b)2﹣(2a﹣3b)2.

(23)2a2﹣a8÷a6;

(24)(2﹣x)(2+x)+(x+4)(x﹣1)

(25)(﹣2ab3)2+ab4•(﹣3ab2);

(26)(2a+3)(2a﹣3)+(a﹣3)2.

(27)12ab2(abc)4÷(﹣3a2b3c)÷[2(abc)3].(28)(﹣2x2)3÷(﹣x)2

(29)(﹣2m﹣1)(3m﹣2)

(30)2x•(﹣x2+3x)﹣3x2•(x+1).

(31)3a•(﹣ab2)﹣(﹣3ab)2.

(32)﹣3x•(2x2﹣x+4)

(33)2x3•(﹣2xy)(﹣xy)3.

(34)3(x2﹣2x+3)﹣3x(x+1)=0.

(35)(3x+2)(3x+1)﹣(3x+1)2.

(36)2a(a+b)﹣(a+b)2.

(37)x(2x﹣7)+(3﹣2x)2.

(38)(﹣3x2y)2÷(﹣3x3y2)

(39)(a+2)2﹣(a+1)(a﹣1)

(40)(a2)4÷a2

(41)

(42)a(ab2﹣4b)+4a3b÷a2;

(43)(x﹣8y)(x﹣y).

(44)(3x2y)3•(﹣5y);

(45)[(x+y)2﹣y(2x+y)﹣4x]÷2x.(46)(2x+a)2﹣(2x﹣a)2

(47)[(2x2)3﹣6x3(x3+2x2)]÷(﹣2x2)(48)(x﹣2)(x+2)﹣(x+1)(x﹣3)(49)(2a)3•b4÷12a3b2

(50)(3x﹣1)(2x+3)﹣6x2.

(51)(﹣6x2)2+(﹣3x2)•x﹣27x5÷(﹣9x2)(52)(﹣2y2)3+y•y5

(53)(x+2)2﹣(x+1)(x﹣1)

(54)(a+b)(a﹣b)+(a+b)2﹣a(2a+b)

(55)(﹣a)2•(a2)2÷a3

(56)(15x2y﹣10xy2)÷5xy.

(57)[(2x2)3﹣6x3(x3+2x2+x)]÷(﹣x)4.(58)(x+1)2+2(1﹣x)﹣x2

(59)(12a3﹣6a2+3a)÷3a

(60)5x2(x+1)(x﹣1)

(61)(b﹣2a)2﹣4a(a﹣b)

(62)(﹣3ab2)3(﹣4ab2)

(63)(3a﹣2)(a﹣6)

(64)(3a3b﹣9a2b2﹣21a2b3)÷(﹣3a2b)(65)(x+3)(x﹣2)﹣(x﹣2)2

(66)(3x+4y)(3x﹣4y)

(67)(x+3y)(2x﹣y)﹣y(5x+3y)

(68)3(a5)2•(﹣a3)2﹣(2a3)2•(a2)5;(69)4xy+(x﹣2y)2+(x+3y)(3y﹣x)(70)﹣3x2y2•(﹣2xy)2.

(71)(a﹣2b)2+(a+2b)(a﹣2b)

(72).(73).(74)(﹣2xy2)3+(﹣3xy4)(﹣2x2y2)

(75)(2x)3×(﹣3xy2)

(76)(a+3b)(a﹣2b)﹣(2a﹣b)2.

(77)(﹣2x2y)3+(3x2)2•(﹣x2)•y3.(78)(m2n)3•(﹣m4n)÷(﹣mn)2

(79)(2a﹣1)2(2a+1)2

(80)(x4y+6x3y2﹣x2y3)÷(3x2y)

(81)(2x﹣3y+1)(2x+3y﹣1)

(82)(﹣2x)(4x2﹣2x+1)

(83)(6a3﹣4a2+2a)÷2a

(84)(2x﹣y)(2x+y)﹣(x﹣3y)2

(85)(4x2﹣2x3+6x)÷(﹣2x)﹣(2x﹣1)2.(86).(87)[x(xy2+2xy)﹣y(x2y﹣6x2y2)]÷2x2y.(88)x6÷(﹣x)2﹣(x)2•27x2.

(89)(2x+y)(2x﹣3y)+4y(2x+y)

(90)(m+2)(m﹣2)+(m﹣1)(m+5)(91)[(x+y)2﹣y(2x+y)﹣8x]÷2x.

(92)(2xy2﹣6xy)÷2x+y(y+2)

(93)(27a3﹣15a2+6a)÷(3a)

(94)x(x+2y)﹣(x+1)2+2x.

(95)(x2y3)2÷(x3y4)•(﹣4xy)

(96)a3•a3+(﹣2a3)2﹣(﹣a2)3.

(97)(2x+1)(x+3)﹣6(x2+x﹣1);

(98)[x(x2y2﹣xy)﹣y(x2﹣x3y)]+3x2y.(99)[(2x+y)2﹣y(y+2x)﹣4x]÷2x.

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