Question

evaluate the following by using a suitable identity:103×97

Answer 1

103×97
=(100+3)×(100-3)
=100^2-3^2 (a+b)×(a-b)=a^2-b^2
=10000-9
=9991

Answer 2

103 × 97 = 9991

Given :

The expression 103 × 97

To find :

The value of the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 103 × 97

Step 2 of 2 :

Find the value of the expression

We use the formula

a² - b² = ( a + b ) ( a - b )

Thus we get

103 × 97

= (100 + 3)(100 - 3)

= (100 - 3)(100 + 3)

= 100² - 3²

= 10000 - 9

= 9991

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