How To Do Algebra? - Answers

It is really a fun! What is the number next to 12? 13 is the answer. Ok. Next to 25? 26 is the right answer. Now next to 102? 103 is the correct one. Now seriously, what is next to a? Usually almost all of us would say it is b. But it is absolutely wrong! Then what will be right answer? Let us analyse what we have done in the previous cases? We have added 1 to get the next number. Right? So next to a has to be a+1 and not b. This is algebra. Instead numbers, we use alphabets too to do mathematical manipulations. So a+b is a+b. No chance of adding as we add 2+6 as 8. Because a may assume any value. It may be 9, -3, ./2 , 3/4 , 0.78 or any value. Same away b may assume any value. Now a+a? Instead simply writing as a+a we can simplify writing as 2a. Hence 4m+3m = 7m and so on. Then a multiplied by b will be written as a*b or simply as ab. So abcd will be the product of a, b, c and d. If a is multiplied by a then AA may be marked. It may give an inconvenience if we multiply a's some four times. Instead writing aaaa, it will be easier and convenient to write as a4. This is how algebra grows in an interesting way. Then we come across many identities such as (a+b)2=a2 + b2 + 2ab.