次の式を因数分解しなさい。 |
(1) x2y−xy2−y2z+yz2−z2x−zx2+2xyz |
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(2) xy((z+y)+yz(y+z)+zx(z+x)+3xyz |
(3) (x+y+z)3−x3−y3−z3 |
(4) (x2+x−2)(x2+x+6)−9 |
(5) (x+7)(x−3)(x2+4x−5)−225 |
(6) (x−1)(x−2)(x−4)(x−5)−4 |
(7) (x2−x+1)(x2−x+5)−21 |
(8) x4+3x2+4 |
(9) x4−18x2y2+y4 |
(10) x4−14x2y2+25y4 |
(11) 9x4+11x2y2+44 |
(12) 27x3−21x2−7x+1 |
(13) 9x3−9x−2 |
(14) x3+4x2+2x−3 |
(15) x3−y3−z3−3xyz |
(16) x3+9xy−27y3+1 |
(17) (x2−x−5)(x+4)(x−5)+26 |
(18) (y+z)(x+y)(z+x)+xyz |
(19) 4x4−12x2y2+9y4−16z4 |
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(20) 2(3x+1)4−(3x−1)4−(9x2−1)2 |