The L.C.M of a² – 2a – 3 and a³ + a² + a + 1 is
Consider, the first expression a2 - ax - 3 Find the factors of first expression ⇒ a2 – 2a - 3 = (a - 3)(a + 1) Now, consider, the second expression a3 + a2 + a + 1 Find the factors of the second expression ⇒ a3 + a2 + a + 1 = a2 (a + 1) + (a + 1) ⇒ a3 + a2 + a + 1 = (a2 + 1)(a + 1) The common factors of the two expressions a2 – 2a - 3 and a3 + a2 + a + 1 is (a + 1) (a - 3) is extra factor in the first expression and (a2 + 1) are the extra factor in the second expression. Therefore, the required L.C.M. of a2 – 2a – 3 and a3 + a2 + a + 1 is (a + 1)(a - 3)(a2 + 1).
If 4 2 x 1.5 0.5
Then, 1/3 x + 2.5 = ?
81, 90, 108, 135, 171, ?
625, 5, 125, 25, 25, ? , 5
6 10 ? 210 1672 16710
...412, 537, 573, 916, 980, ?
140 300 380 420 440 ?
...542 541 532 507 458 ?
...If 4 x 4 7 15 38.5
Then, ( x + 1) ( x - 1) = ?
...95 110 128 ? 181 222
...21, 22, 48, 153, 628, ?
