From the sum of 3x3+7x2-5x+1 and 5x3-9x2+7x-25 subtract -6x3+2x2-6x-8 we get ____. - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

The sum of

{3 x}^{3} + {7 x}^{2} - 5 x + 1

and

{5 x}^{3} - {9 x}^{2} + 7 x - 25

{3 x}^{3} + {7 x}^{2} - 5 x + 1 + {5 x}^{3} - {9 x}^{2} + 7 x - 25

{7 x}^{3} - {2 x}^{2} + 2 x - 24

Now the required polynomial is

{7 x}^{3} - {2 x}^{2} + 2 x - 24 - ({- 6 x}^{3} + {2 x}^{2} - 6 x - 8)

{7 x}^{3} - {2 x}^{2} + 2 x - 24 {+ 6 x}^{3} - {2 x}^{2} + 6 x + 8

{13 x}^{3} - {4 x}^{2} + 8 x - 16

From the sum of

{3 x}^{3} + {7 x}^{2} - 5 x + 1

and

{5 x}^{3} - {9 x}^{2} + 7 x - 25

subtract

{- 6 x}^{3} + {2 x}^{2} - 6 x - 8

we get

{13 x}^{3} - {4 x}^{2} + 8 x - 16

From the sum of ${3 x}^{3} + {7 x}^{2} - 5 x + 1$ and ${5 x}^{3} - {9 x}^{2} + 7 x - 25$ subtract ${- 6 x}^{3} + {2 x}^{2} - 6 x - 8$ we get ____.