Priyanka.S submitted a document about mathematical identities for her optional subject of mathematics. The document defines 8 identities including the product of a sum and number, product of sums, square of a sum, product of differences, square of a difference, product of a sum and difference, sum and difference, cube of a sum, and cube of a difference. The document was submitted by Priyanka.S.

1. *WELCOME

2. NAME OF THE STUDENT:PRIYANKA.S
OPTIONAL SUBJECT :MATHEMATICS
REGISTER NUMBER :18014360004

3. IDENTITIES

4. PRODUCT OF SUM
AND A NUMBER
(a+b)c=ac+bc

5. PRODUCT OF SUMS
(a+b)(c+d) =ac+ad+bc+bd

6. SQUARE OF A SUM
(a+b)² =a²+b²+2ab

7. PRODUCT OF
DIFFERENCES
(a-b)(c-d) =ac-ad-bc+bd

8. SQUARE OF A
DIFFERENCE
(a-b)² =a²+b²-2ab

9. PRODUCT OF SUM
AND A DIFFERENCE
(a+b)(c-d) =ac-ad+bc-bd

10. SUM AND
DIFFERENCE
(a+b)(a-b)=a²-b²

11. CUBE OF A SUM
(a+b)³=a³+3a²b+
3ab²+b³

12. CUBE OF A
DIFFERENCE
(a-b)³=a³-3a²b+3ab²-b³

13. THANK YOU

14. *SUBMITTED BY
PRIYANKA.S