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

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Solution

$(51)^{2} - (49)^{2}$
$\Rightarrow (50 + 1)^{2} - (50 - 1)^{2}$
$\Rightarrow (50 + 1 + 50 - 1) (50 + 1 - 50 + 1)$
$\Rightarrow 100 \times 2$
$\Rightarrow 200$

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Similar questions

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

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

Using a²-b²=(a+b)(a-b) find:

i. 51² - 49²

ii. (1.02)² - (0.98)²

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

153^{2} - 147^{2}

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

51^{2} - 49^{2}

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