Question

31. Evaluate using suitable identities
(ii) 102^2​

Answer 1

Answer:

10404

Step-by-step explanation:

Identity:

${(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

Therefore,

${102}^{2} = {(100 + 2)}^{2}$

$= {100}^{2} + 2 \times 100 \times 2 + {2}^{2}$

$= 10000 + 400 + 4$

$= 10404$

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