Using the identities of algebraic expressions , find (i) 1002×

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Using the identities of algebraic expressions , find
$(i) 1002 \times 1003$
$(i i) 97 \times 103$ . [2 MARKS]

Options:

Answer: Option A
:

Application: 1 Mark each
$(i) 1002 \times 1003$
$= (1000 + 2) (1000 + 3) \Rightarrow 1000^{2} + (2 + 3) 1000 + (3) (2)$
$= 1000000 + 5000 + 6$
$= 1005006$
$(i i) 97 \times 103$
$= (100 - 3) (100 + 3)$
$= [{(100)}^{2} - {(3)}^{2}]$
$= [10000 - 9]$
$= 9991$

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