1. Question:`12846 xx 593+12846 xx 407` 

    Answer
    `= 12846 xx (593+407)`
    
     `= 12846 xx 1000`
    
     `= 12846000`

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  2. Question:`987 xx 999` 

    Answer
    `=987 xx (1000-1)`
         ` =(987 xx 1000)-(987 xx 1)`
         ` =(987000-987)`
          ` =986013`

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  3. Question:`469157 xx 9999` 

    Answer
    =4691570000-469157
     =4691100843

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  4. Question:`935421 xx 625` 

    Answer
    `=935421 xx 25 xx 25`
    `=935421 xx 100/4 xx 100/4 `
    `=(9354210000)/16`
     =584638125

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  5. Question:Use the formula,`(a^2+b^2+2ab)=(a+b)^2` `387 xx 387 xx +114 +2 xx 387 xx 114` 

    Answer
    `=(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

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  6. Question:`1014 xx 986` 

    Answer
    `=(1000 + 14) xx (1000-14)`
    `=(1000)^2 - (14)^2`
    `=(1000000-196)=999804`

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  7. Question:`1299 xx 1299` 

    Answer
    `=(1299)^2=(1300-1)^2`
    `=(1300)^2 + (1)^2 -2 xx 1300 xx 1`
     =1690000 + 1 - 2600=1687401

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  8. Question:`2(a^2 +b^2)` 

    Answer
    `(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.

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  9. Question:`5358 xx 51` 

    Answer
    `5358 xx (50 + 1)`
    `=(5358 xx 50) + (5358 xx 1)`
      =267900 + 5358=273258.

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  10. Question:`1307 xx 1307` 

    Answer
    `=(1307)^2`=`(1300 + 7)^2`
    `=(1300)^2 + (7)^2 + 2 xx 1300 xx 7`
    =1690000 + 49 + 18200
    =1708249.

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