Question

evaluate the following without achual multiplication 97× 103​

Answer 1

~Solution :-

$\leadsto$ In your given question, we can do the solution as below;

$\sf{97 \times 103}$

$\to \sf{(100 - 3)(100 + 3)}$

• Using the Identity ~ $\tt{(x-y)(x+y)=x^2-y^2}$. Where, x = 100, y = 3.

$\to \sf{(100 {)}^{2} - (4 {)}^{2}}$

$\to \sf{10000 - 16}$

$\implies \bf \red{9984}$

• Hence, Using identities, 97 × 103 = 9984.

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