Question

square of 210 by identity
$(a + b) ^{2}$
​

Answer 1

Answer:

$210 = (200 + 10) \\ = {200}^{2} + {10}^{2} + 2 \times 200 \times 10 \\ = 40000 + 100 + 4000 \\ = 44100 \\ so \: {210}^{2} = 44100$

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Answer 2

Here , we have to find the square of 210 . In order to do so , no need to follow the regular multiplication method rather we have a very simple and easy way to solve it !! That is using algebraic identies !! You may think how ? Have a glance at the steps here :

$\tt{210 = 200 + 10} \\ \implies\tt{ {(210)}^{2} = {(200 + 10)}^{2} }$

The expression is in the form of ( a+b)² = a² + b² +2ab

[Substituting the values as : a = 200 and b = 10]

$\implies \tt{ {(200 + 10)}^{2} = {(200)}^{2} + {(10)}^{2} + 2(200)(10)} \\ \implies \tt{40000 + 100 + 4000} \\ \implies \tt{44100}$

You can check that out and absolutely you will get the same answer !! Mathematics is nothing to get tensed !! Have patience and solve accurately