Question

Without finding the square evaluate 51square-1

Answer 1

$51 = 50 + 1$

51²-1

$( {50 + 1})^{2} - 1$.... identity (a+b)²=a²+2ab+b²

${50}^{2} + 2 \times 50 + 1 + {1}^{2} - 1$

$2500 + 100 + 1 - 1$

$2600$

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