Simplify x + x 2 + x 3

Given, x + x 2 + x 3 The L.C.M. of the number 2 & 3 = 6 ⇒ 6 x + 3 x + 2 x 6 ⇒ 6 x + 5 x 6 ⇒ 11 x 6 Hence, this is the required answer.

Simplify x + x 2 + x 3

Given, x + x 2 + x 3 The L.C.M. of the number 2 & 3 = 6 ⇒ 6 x + 3 x + 2 x 6 ⇒ 6 x + 5 x 6 ⇒ 11 x 6 Hence, this is the required answer.

Simplify y 5 + y - 19 y 15

Given, y 5 + y - 19 y 15 The L.C.M. of the number 5 & 15 = 15 ⇒ 3 y + 15 y - 19 y 15 ⇒ 18 y - 19 y 15 ⇒ - y 15 Hence, this is the required answer.

Simplify x 5 + x + 1 2

Given, x 5 + x + 1 2 ⇒ 2 x + 5 x + 1 10 ⇒ 2 x + 5 x + 5 10 ⇒ 7 x + 5 10 Hence, this is the required answer.

Given, x + x + 2 3 ⇒ 3 x + x + 2 3 ⇒ 4 x + 2 3 Hence, this is the required answer.

Simplify 3 y 5 - y + 2 2

Given, 3 y 5 - y + 2 2 The L.C.M. of the numbers 2 & 5 = 10 . ⇒ 3 y 5 - y + 2 2 ⇒ 2 3 y - 5 y + 2 10 ⇒ 6 y - 5 y - 10 10 ⇒ y - 10 10 Hence, this is the required answer.

Simplify 2 a + 1 3 + 3 a - 1 2

Given, 2 a + 1 3 + 3 a - 1 2 The L.C.M. of the numbers 2 & 3 = 6 ⇒ 2 a + 1 3 + 3 a - 1 2 ⇒ 2 2 a + 1 + 3 3 a - 1 6 ⇒ 4 a + 2 + 9 a - 3 6 ⇒ 13 a - 1 6 Hence, this is the required answer.

Simplify k + 1 2 + 2 k - 1 3 - k + 3 4

Given, k + 1 2 + 2 k - 1 3 - k + 3 4 The L.C.M. of the numbers 2 , 3 & 4 = 12 ⇒ k + 1 2 + 2 k - 1 3 - k + 3 4 ⇒ 6 k + 1 + 4 2 k - 1 - 3 k + 3 12 ⇒ 6 k + 6 + 8 k - 4 - 3 k - 9 12 ⇒ 14 k - 3 k - 13 + 6 12 ⇒ 11 k - 17 12 Hence, this is the required answer.

Simplify m 5 - m - 2 3 + m

Given, m 5 - m - 2 3 + m The L.C.M. of the numbers 3 & 5 = 15 ⇒ m 5 - m - 2 3 + m ⇒ 3 m - 5 m - 2 + 15 m 5 ⇒ 3 m - 5 m + 10 + 15 m 5 ⇒ 18 m - 5 m + 10 5 ⇒ 13 m + 10 5 Hence, this is the required answer.

Simplify 5 x - 4 3 + 2 5 x - 3 5 + 6 x - 4 7

Given, 5 x - 4 3 + 2 5 x - 3 5 + 6 x - 4 7 The L.C.M. of the 3 , 5 & 7 = 105 ⇒ 5 x - 4 3 + 2 5 x - 3 5 + 6 x - 4 7 ⇒ 35 × 5 x - 4 + 2 × 21 5 x - 3 + 15 × 6 x - 4 105 ⇒ 175 × x - 4 + 42 × 5 x - 3 + 90 × x - 4 105 ⇒ 175 x - 700 + 210 x - 126 + 90 x - 360 105 ⇒ 475 x - 1186 105 Hence, this is the required answer.