User:Aakashjit bhattacharya

Mathematical Formulas
1)For calculating the sum of all the odd number upto n Methods of Squaring

Mathematics formula-adding
1)For calculating the sum of all the odd number upto n formula is:-(n/2)2+n for example:- sum of all the odd number upto 7 Here n=7 Step:1 n/2=3(do not consider decimal) Step 2: square n/2 i.e,3*3=9 Step :3 Add the original original number(n=7)with 9 Answer is 16

Methods of Squaring
2)Squaring any number: formula(a+b)2 e.g. 1) In case of 95 Let a=9,b=5 We know (a+b)2=a^22+2xaxb+b2 Here a2=81,2xaxb=90,b2=25 Now, 81+90+25(keep the unit's digit in it's original place and add the remaining with the prevoius nnumber) 81+90+25 =81+90+25 =(81+9)+(0+2)+5 =90+2+5 =9025(Answer) -- Note :-in case of more than two digit number,also keep the unit digit in it's original place and do the calculation as vefor) e.g In case of 195 Let a=19,b=5 We know (a+b)2=a22+2xaxb+b2 Here a2=361,2xaxb=190,b2=25 Now, 361+190+25(keep the unit's digit in it's original place and add the remaining with the prevoius nnumber) 361+190+25 =361+190+25 =(361+19)+(0+2)+5 =380+2+5 =38025(Answer) --