Evaluate using suitable identitiie.
`2.07 xx 1.93`

Answer

To evaluate \( 2.07 \times 1.93 \) using suitable identities, we can follow these steps:

### Step 1: Rewrite the numbers
We can express \( 2.07 \) and \( 1.93 \) in a different form:
- \( 2.07 = 2.00 + 0.07 \)
- \( 1.93 = 2.00 - 0.07 \)

### Step 2: Identify the identity
We can use the identity:
\[ (a + b)(a - b) = a^2 - b^2 \]
Here, let \( a = 2.00 \) and \( b = 0.07 \).

### Step 3: Apply the identity
Now, we can substitute \( a \) and \( b \) into the identity:
\[ (2.00 + 0.07)(2.00 - 0.07) = 2.00^2 - 0.07^2 \]

### Step 4: Calculate \( a^2 \) and \( b^2 \)
Now, we calculate:
- \( 2.00^2 = 4.00 \)
- \( 0.07^2 = 0.0049 \)

### Step 5: Substitute back into the equation
Now, substitute these values back into the equation:
\[ 4.00 - 0.0049 \]

### Step 6: Perform the subtraction
Now, we perform the subtraction:
\[ 4.00 - 0.0049 = 3.9951 \]

### Final Answer
Thus, the value of \( 2.07 \times 1.93 \) is \( 3.9951 \).

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