Question

Evaluate the following using suitable identities.
(i)
${(102)}^{3}$
(ii)
$104 \times 96$

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Answer 1

Step-by-step explanation:

i) (102)³

Using identity (a+b) ³

(100+2)³

(100)³+(2)³+3×100×2(100+2)

1,000,000 + 8 + 61200

= 1,061,208

ii) 104 ×96

Using identity (a+b) (a-b)

(100+4)(100-4)

(100)² - (4)²

10000 - 16

=9984