【高校数学Ⅰ】1-1-3 整式の乗法｜問題集
1.次の計算をしなさい。
(1)\(2a^3×4a^2\)
(2)\(3x^2y×(-2x^3y^2)\)
(3)\((-3x^2y)^3\)
(4)\(x^2×3x^3\)
(5)\((-a^3b)^2×2a^2b\)
(6)\((-2a^2b)^3\)
(7)\(x^2y^3×(-xy^2z)^2\)
(8)\(-2x^3×3x^2\)
(9)\(-4a^2b×(-3a^2b^3)\)
(10)\((x^2)^3\)
(11)\((-2a^4b^2)^3\)
(12)\((-6x^2)×(-3x^2)\)
(13)\(5ab^2×b^4\)
(14)\((-x^2)^2\)
(15)\((-3a^2b)^4\)
2.次の式を展開しなさい。
(1)\(4x^2(2x^2-3x+5)\)
(2)\((2x-1)(4x^2+3)\)
(3)\((2x^2+x-3)(x-2)\)
(4)\((2x^2+3)(x^2-4x-1)\)
(5)\(3xy(x-2y)\)
(6)\((2a-1)(3a+2b-1)\)
(7)\((x^2-x-1)(2x+1)\)
(8)\((a+b+1)(2a-3b-1)\)
(9)\((2x+3)(x+7)\)
(10)\((2x-5)(x^2-4x+3)\)
(11)\((2x+5)^2\)
(12)\((2x-3y)^2\)
(13)\((5x+4y)(5x-4y)\)
(14)\((x+1)(x+5)\)
(15)\((x-3)(x+8)\)
(16)\((x-y)(x-4y)\)
(17)\((x+2)^2\)
(18)\((3x-2y)^2\)
(19)\((a+4)(a-4)\)
(20)\((x+2)(x-3)\)
(21)\((x+5)(2x-3)\)
(22)\((3a+b)(2a-3b)\)
(23)\((a-2b)^2\)
(24)\((3+2x)(3-2x)\)
(25)\((a-5)(a+7)\)
(26)\((5x-4y)(3x+2y)\)
(27)\((a-1)^2\)
(28)\((2-x)^2\)
(29)\((2b+4)^2\)
(30)\((4x-3y)^2\)
(31)\((3y-1)(3y+1)\)
(32)\((a+5b)(a-5b)\)
(33)\((x+8)(x-3)\)
(34)\((4a-1)(4a+5)\)
(35)\((2x-3)(x+5)\)
(36)\((5a-2b)(a+3b)\)
(37)\((2x+1)(4x+5)\)
(38)\((x+4)(2x-3)\)
(39)\((3x-7)(x+2)\)
(40)\((2x-5)(2x-1)\)
(41)\((x+2y)(3x-y)\)
(42)\((3x-2a)(4x-3a)\)
(43)\((x+2y+3z)^2\)
(44)\((x^2+x+1)^2\)
(45)\((a-b-c)^2\)
(46)\((2x-y+3z)^2\)
(47)\((3a+b)^3\)
(48)\((x-2y)^3\)
(49)\((x+2)(x^2-2x+4)\)
(50)\((x-3)(x^2+3x+9)\)
(51)\((x+3y)(x^2-3xy+9y^2)\)
(52)\((2x-a)(4x^2+2ax+a^2)\)
(53)\((x+2)^3\)
(54)\((3a-4b)^3\)
(55)\((a-3)(a^2+3a+9)\)
(56)\((2x+3y)(4x^2-6xy+9y^2)\)
(57)\((3x-1)^3\)
(58)\((4a+3b)(16a^2-12ab+9b^2)\)
(59)\((-m+2n)^3\)
(60)\((3x-y)^3\)
(61)\((3x+1)(9x^2+3x+1)\)
(62)\((a^2-b^2)(a^4+a^2b^2-b^4)\)
(63)\((x^2+3x+2)(x^2-3x+2)\)
(64)\((x-y-z)(x-y+z)\)
(65)\((x+1)^2(x-1)^2\)
(66)\((x-1)(x-2)(x-3)(x-4)\)
(67)\((a+b-4)(a+b+4)\)
(68)\((x^2+2x+1)(x^2-3x+1)\)
(69)\((x^2+y^2)(x+y)(x-y)\)
(70)\((x-1)(x-2)(x^2-3x+1)\)
(71)\((x-4)(x-2)(x+5)(x+3)\)
(72)\((2x-1)(2x+1)(x+2)(x+3)\)
(73)\((2x-3)^2(2x+3)^2\)
(74)\((a^2+b^2)^2(a+b)^2(a-b)^2\)
次の学習に進もう！