Q. Evaluate: (313 x 313 + 287 x 287).

• 313 x 313 + 287 x 287
  =(313)^2+(287)^2
  =(300+13)^2+(300-13)^2
  =2(300^2+13^2) since,(a+b)^2+(a-b)^2=2(a^2+b^2)
  =2(90000+169)
  =180000+ 338
  =180338
• 10 years agoHelpfull: Yes(71) No(0)
• (313 x 313 + 287 x 287) = a^2+b^2
  = (a+b)^2-2ab
  = 600^2-179662
  = 360000-179662
  = 180338 ans..
• 10 years agoHelpfull: Yes(11) No(2)
• 300+13*300+13 + 300-13*300-13
  (a+b)^2 + (a-b)^2 = 2(a^2+ b^2)
  =2(300^2+13^2)
  =2(90000+169)
  =180000+ 338
  =180338
• 10 years agoHelpfull: Yes(5) No(0)
• 180338
  slove by using bdmos rule
  
• 10 years agoHelpfull: Yes(1) No(6)
• clearly its a^2 + b^2 =1/2{(a+b)^2+(a-b)^2}
  =1/2{(313+287)^2+(313-287)^2}
  =180338
• 10 years agoHelpfull: Yes(1) No(0)
• 313*313=97969
  287*287=82369
  total =180338
  so my ans is 180338
• 10 years agoHelpfull: Yes(1) No(5)
• (a*a+b*b)=(a^2+b^2)
  (a^2+b^2)=1/2((a+b)^2+(a-b)^2)
  so,a=313,b=287
  then 1/2((313+287)^2+(313-287)^2)=1/2((600)^2+(26)^2)=1/2(360000+676)=180338
• 10 years agoHelpfull: Yes(1) No(0)
• (300+13)^2+(300-13)^2=2138
• 10 years agoHelpfull: Yes(1) No(0)
• ((300+13)^2+(300-13)^2)
  300^2+13^2+2(13)(300)+300^2+13^2-2(13)(300)
  2(90000)+2(169)
  180000+338
  =180338
• 10 years agoHelpfull: Yes(1) No(0)
• 300+13*300+13 + 300-13*300-13
  (a+b)^2 + (a-b)^2
• 10 years agoHelpfull: Yes(0) No(0)
• 97969+82369=180338
• 10 years agoHelpfull: Yes(0) No(2)
• [(a+b)^2+(a-b)^2]/2=a^2+b^2
  here a=313 b=287
  (a+b)^2=(313+287)^2=360000 (a-b)^2=(313-287)^2=676
  360000+676=360676
  360676/2=180338
• 10 years agoHelpfull: Yes(0) No(0)
• 313=(300+13) or (326-13) so 313^2=(300*326)+13^2=97969
  287=(300-13) or (274+13) so 287^2=(300*274)+13^2=82369
  so 313*313 + 287*287 = 180338
  this rule is applicable to calculating the square of any number.
• 10 years agoHelpfull: Yes(0) No(0)
• a^2+b^2=(a+b)^2-2ab
  s0 a=313,b=287
  sol: 180338
• 10 years agoHelpfull: Yes(0) No(0)
• a^2+b^2=(a-b)^2+2ab...so...676+2*313*287=
  89831*2=179662+676=180338
• 9 years agoHelpfull: Yes(0) No(0)
• a*a+(b*b)=a2+b2 so (313+287)2= 600)2= 360000
• 7 years agoHelpfull: Yes(0) No(0)