Use appropriate formula to compute $185^{2} - 115^{2}$

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Solution

Using the identity: $a^{2} - b^{2}$ = $(a - b) (a + b)$
We can write $(185)^{2} - (115)^{2}$ = $(185 + 115) (185 - 115)$ using the above identity
$\Rightarrow$ $(185 + 115) (185 - 115) = (300) (70)$
Hence the answer is $21000$

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Similar questions

Use appropriate formulae and compute:

(i) (103)²; (ii) (96)²; (iii) 107 × 93; (iv) 1008 × 992; (v) 185² − 115².

(103)^{2}

(96)^{2}

107 \times 93

1008 \times 992

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