The value of $756^{2} - 755^{2}$ is

1511

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1155

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1411

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1522

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Solution

The correct option is A $1511$
$756^{2} - 755^{2} = 756^{2} - (756 - 1)^{2}$
This is of the form $a^{2} - b^{2} = (a + b) (a - b)$ . Therefore,
$(756 + 756 - 1) (756 - 756 + 1) = 756 + 755 = 1511$

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