Question:`12846 xx 593+12846 xx 407`
Answer
`= 12846 xx (593+407)` `= 12846 xx 1000` `= 12846000`
Question:`12846 xx 593+12846 xx 407`
`= 12846 xx (593+407)` `= 12846 xx 1000` `= 12846000`
Question:`987 xx 999`
`=987 xx (1000-1)` ` =(987 xx 1000)-(987 xx 1)` ` =(987000-987)` ` =986013`
Question:`469157 xx 9999`
=4691570000-469157 =4691100843
Question:`935421 xx 625`
`=935421 xx 25 xx 25` `=935421 xx 100/4 xx 100/4 ` `=(9354210000)/16` =584638125
Question:Use the formula,`(a^2+b^2+2ab)=(a+b)^2` `387 xx 387 xx +114 +2 xx 387 xx 114`
`=(387)^2 + (114)^2 + 2 xx 387 xx 114` `=(387 + 114)^2=(501)^2=(500 + 1)^2` `=(500)^2 + (1)^2 + 2 xx 500 xx 1` `=250000 + 1 + 1000 =251001
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.