Question:
Evaluate: \((303\times303+208\times208)\)
Evaluate: \((303\times303+208\times208)\)
Updated On: Mar 6, 2025
- 180348
- 91809
- 135073
- 43264
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The Correct Option is C
Solution and Explanation
Using the distributive property:
\( 3032 + 2082 = (300+3)2 + (200+8)2 \)
\( = (300^2 + 2 \times 300 \times 3 + 3^2) + (200^2 + 2 \times 200 \times 8 + 8^2) \)
\( = (90000 + 1800 + 9) + (40000 + 3200 + 64) \)
\( = 91809 + 43264 = 135073 \)
Thus, the correct answer is 135073.
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