問題
問1．次の式を計算しなさい．
(1) \(x^2 \times x^2\)
(2) \(x^3 \times x \times x^5\)
(3) \((x^3)^2 \times x^2\)
(4) \((xy^2)^3 \times 3x^3y^2\)
問2．次の式を展開しなさい．
(1) \((2x-1)^2\)
(2) \((3x-1)(4x+5)\)
(3) \((3x+7)^2\)
(4) \((4x+5)(4x-5)\)
(5) \((2x+1)^3\)
(6) \((x-1)(x^2+x+1)\)
(7) \(\displaystyle \Big(x+\frac{1}{3}\Big)^3\)
(8) \((2x+3)^3\)
(9) \((x+5)(x^2-5x+25)\)
(10) \((2x+1)(4x^2+2x+1)\)
(11) \(\displaystyle \Big(\frac{1}{2}x+\frac{1}{5}\Big)^3\)
(12) \(\displaystyle \Big(x-\frac{1}{10}\Big)\Big(x^2+\frac{1}{10}x+\frac{1}{100}\Big)\)
(13) \(\displaystyle \Big(2x+\frac{1}{3}y+5z\Big)^2\)
(14) \((3x+2)(9x^2-6x+4)\)
(15) \(\displaystyle \Big(2x-\frac{1}{2}\Big)\Big(4x^2+x+\frac{1}{4}\Big)\)
解答
