Using $a^{2} - b^{2} = (a + b) (a - b),$ find
$51^{2} - 49^{2}$ .

$210$

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$300$

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$310$

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$200$

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Solution

The correct option is D
$200$

$51^{2} - 49^{2} = (51 + 49) (51 - 49)$
$[U s i n g i d e n t i t y (a - b) (a + b) = a^{2} - b^{2}]$
$= 100 \times 2 = 200$

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Similar questions

a^{2} - b^{2} = (a + b) (a - b),

51^{2} - 49^{2}

a^{2} - b^{2} = (a + b) (a - b),

51^{2} - 49^{2}

a^{2} - b^{2} = (a + b) (a - b)

51^{2} - 49^{2}

Using a²− b² = (a + b) (a − b), find

(i) 51² − 49² (ii) (1.02)² − (0.98)² (iii) 153² − 147²

(iv) 12.1² − 7.9²

(49)^{2}

(a - b)^{2} = a^{2} - 2 a b + b^{2}

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