What will be the simplified form of the rational expression p x q x , where p x = 81 x 5 - 81 x and q x = 9 x 2 + 9 3 x + 3 ? (A) 2x(x – 1) (2) 3x(x – 1) (3) 3(x – 1) (4) 3x(x + 1) Share with your friends Share 0 Sanjari Kalantri answered this Dear Student, We have: px = 81x5 - 81x and qx = 9x2 + 93x + 3Now, px = 81x5 - 81x = 81xx4 - 1 = 81xx2 - 1x2 + 1 = 81xx + 1x - 1x2 + 1 ∵ a2 - b2 = a + ba - band, qx = 9x2 + 93x + 3 = 9x2 + 1 × 3x + 1 = 27x2 + 1x + 1∴ Thus, pxqx = 81xx + 1x - 1x2 + 127x2 + 1x + 1 = 3xx - 1 -1 View Full Answer