а) у−4у - 4у−42 = y2 - 8y + 16б) 7x+a7x + a7x+a2 = 49x2 + 14ax + a2в) 5c−15c - 15c−15c+15c + 15c+1 = 25c2 - 1г) 3a+2b3a + 2b3a+2b3a−2b3a - 2b3a−2b = 9a2 - 4b2
а−9а - 9а−92 - 81+2а81 + 2а81+2а = a2 - 18a + 81 - 81 - 2a = a2 - 20a
а) x2 - 49 = x+7x + 7x+7x−7x - 7x−7 б) 25x2 - 10xy + y2 = 5x−y5x - y5x−y5x−y5x - y5x−y
2−x2 - x2−x2 - xx+1.5x + 1.5x+1.5 = 4Раскрываем скобки:4 - 4x + x2 - xx+1.5x + 1.5x+1.5 = 44 - 4x + x2 - x2 - 1.5x = 44 - 4x - 1.5x = 4-5.5x = 0x = 0
а) y2−2ay2 - 2ay2−2a2a+y22a + y22a+y2 = 2ay2 + y4 - 4a2б) 3x2+x3x2 + x3x2+x2 = 9x4 + 6x3 + x2в) 2+t2 + t2+t22−t2 - t2−t2 = 4−t24 - t24−t22 = 16 - 8t2 + t4
а) 4x2y2 - 9a4 = 2xy+3a22xy + 3a22xy+3a22xy−3a22xy - 3a22xy−3a2 б) 25a2 - a+3a + 3a+32 = 5a−a−35a - a - 35a−a−35a+a+35a + a + 35a+a+3 = 4a−34a - 34a−36a+36a + 36a+3 в) 27t3 + p3 = 3t+p3t + p3t+p9t2−3pt+p29t2 - 3pt + p29t2−3pt+p2
а) у−4у - 4у−42 = y2 - 8y + 16
б) 7x+a7x + a7x+a2 = 49x2 + 14ax + a2
в) 5c−15c - 15c−15c+15c + 15c+1 = 25c2 - 1
г) 3a+2b3a + 2b3a+2b3a−2b3a - 2b3a−2b = 9a2 - 4b2
а−9а - 9а−92 - 81+2а81 + 2а81+2а = a2 - 18a + 81 - 81 - 2a = a2 - 20a
а) x2 - 49 = x+7x + 7x+7x−7x - 7x−7 б) 25x2 - 10xy + y2 = 5x−y5x - y5x−y5x−y5x - y5x−y
2−x2 - x2−x2 - xx+1.5x + 1.5x+1.5 = 4
Раскрываем скобки:
4 - 4x + x2 - xx+1.5x + 1.5x+1.5 = 4
4 - 4x + x2 - x2 - 1.5x = 4
4 - 4x - 1.5x = 4
-5.5x = 0
x = 0
а) y2−2ay2 - 2ay2−2a2a+y22a + y22a+y2 = 2ay2 + y4 - 4a2
б) 3x2+x3x2 + x3x2+x2 = 9x4 + 6x3 + x2
в) 2+t2 + t2+t22−t2 - t2−t2 = 4−t24 - t24−t22 = 16 - 8t2 + t4
а) 4x2y2 - 9a4 = 2xy+3a22xy + 3a22xy+3a22xy−3a22xy - 3a22xy−3a2 б) 25a2 - a+3a + 3a+32 = 5a−a−35a - a - 35a−a−35a+a+35a + a + 35a+a+3 = 4a−34a - 34a−36a+36a + 36a+3 в) 27t3 + p3 = 3t+p3t + p3t+p9t2−3pt+p29t2 - 3pt + p29t2−3pt+p2