Question

evaluate using identities 103*97

Answer 1

Hey friend,
Here is the answer you were looking for:

103 × 97

We can write it as

(100 + 3) × (100 - 3)

= (100 + 3)(100 - 3)

Using the identity :

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Putting x = 100
and y = 3

$= {(100)}^{2} - {(3)}^{2} \\ \\ = 10000 - 9 \\ \\ = 9991$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

Step-by-step explanation:

103×97

(100 + 3)(100 – 3)

100²– 3²

10000-9

9991

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