Question

उपयुक्त सर्वसमिका का उपयोग करते हुए (103)³का मान ज्ञात
कीजिए।
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Answer 1

SOLUTION

TO DETERMINE

The value of (103)³ using appropriate identity

FORMULA TO BE IMPLEMENTED

We are aware of the identity

(a + b)³ = a³ + 3a²b + 3ab² + b³

EVALUATION

$\sf{ {(103)}^{3} }$

$\sf{ = {(100 + 3)}^{3} }$

$\sf{ = {(100 )}^{3} + 3 \times {100}^{2} \times 3 + 3 \times 100 \times {3}^{2} + {3}^{3} }$

$\sf{ =1000000 +90000 + 2700 + 27}$

= 1092727

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