Find the values of the following by using suitable identity:
`105xx95`

Answer

To find the value of \( 105 \times 95 \) using a suitable identity, we can follow these steps:

### Step 1: Rewrite the numbers
We can express \( 105 \) and \( 95 \) in a form that is easier to work with:
- \( 105 = 100 + 5 \)
- \( 95 = 100 - 5 \)

### Step 2: Identify the suitable identity
We can use the identity for the product of a sum and a difference:
\[ (a + b)(a - b) = a^2 - b^2 \]
In our case, \( a = 100 \) and \( b = 5 \).

### Step 3: Apply the identity
Now, we can substitute \( a \) and \( b \) into the identity:
\[ (100 + 5)(100 - 5) = 100^2 - 5^2 \]

### Step 4: Calculate \( a^2 \) and \( b^2 \)
Now we calculate \( 100^2 \) and \( 5^2 \):
- \( 100^2 = 10000 \)
- \( 5^2 = 25 \)

### Step 5: Substitute back into the equation
Now we substitute these values back into the equation:
\[ 10000 - 25 = 9975 \]

### Step 6: Conclusion
Thus, the product \( 105 \times 95 = 9975 \).

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