Question

evaluate 103^3+97^3 by using suitable identity pleaseee I'll mark you as brainelist​

Answer 1

Answer:

here we use the identity a^3 + b^3 = ( a + b )( a^2 - ab + b^2)

103^3 + 97^3 = ( 103 + 97 )( 103^2 - 103×97 + 97^2)

= (200)(10609 - 9991 + 9409)

= 200 × 10027

=2005400

Answer 2

Answer:

${103}^{3} + {97}^{ 3} \\ = {(100 + 3)}^{3} + {(100 - 3)}^{3} \\ = {(100)}^{3} + 3 {(100)}^{2} (3) + 3(100) {(3)}^{2} + {(3)}^{3} \\ + {(100)}^{3} - 3 {(100)}^{2} (3) + 3(100) {(3)}^{2} - {(3)}^{3} \\ = 2 {(100)}^{3} + 6(100) {(3)}^{ 2} \\ = 2(1000000) + 6(100)(9) \\ = 2000000 + 5400 \\ = 2005400$