jamiludheen
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  • 27-08-2019
  • Mathematics
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Find the sqare of 101 without doing the actual multiplication

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Аноним Аноним
  • 27-08-2019

You can use the square of the binomial formula

[tex](a+b)^2 = a^2+2ab+b^2[/tex]

where a = 100 and b = 1 to get

[tex]101^2 = (100+1)^2 = 100^2 + 2\cdot 100\cdot 1 + 1^2 = 10000+200+1 = 10201[/tex]

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