Question:`1014 xx 986`
Answer
`=(1000 + 14) xx (1000-14)` `=(1000)^2 - (14)^2` `=(1000000-196)=999804`
Question:`1014 xx 986`
`=(1000 + 14) xx (1000-14)` `=(1000)^2 - (14)^2` `=(1000000-196)=999804`
Question:`1299 xx 1299`
`=(1299)^2=(1300-1)^2` `=(1300)^2 + (1)^2 -2 xx 1300 xx 1` =1690000 + 1 - 2600=1687401
Question:`2(a^2 +b^2)`
`(a+b)^2 +(a - b)^2` :.`2 [(106)^2 + (94)^2] =[(106 + 94)^2 + (106 - 94)^2]` `=[(200)^2 + (12)^2]`=40000 + 144=40144 So,`[(106)^2 + (94)^2 ]`=20072.
Question:`5358 xx 51`
`5358 xx (50 + 1)` `=(5358 xx 50) + (5358 xx 1)` =267900 + 5358=273258.
Question:`1307 xx 1307`
`=(1307)^2`=`(1300 + 7)^2` `=(1300)^2 + (7)^2 + 2 xx 1300 xx 7` =1690000 + 49 + 18200 =1708249.