Using $a^{2} - b^{2} = (a + b) (a - b)$ , find
$(i) 153^{2} - 147^{2} (i i) {12.1}^{2} - {7.9}^{2}$

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Solution

$(i) 153^{2} - 147^{2} = (153 + 147) (153 - 147)$
$= 300 \times 6 = 1800$
$(i i) {12.1}^{2} - {7.9}^{2} = (12.1 + 7.9) (12.1 - 7.9) = 20 \times 4.2 = 84$

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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

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

{12.1}^{2} - {7.9}^{2}

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

153^{2} - 147^{2}

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

{12.1}^{2} - {7.9}^{2}

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

{12.1}^{2} - {7.9}^{2}

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