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1307 xx 1307 = ?...

`1307 xx 1307 = ?`

A

1601249

B

1607249

C

1701249

D

1708249

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem \(1307 \times 1307\), we can use the formula for the square of a binomial. The expression can be rewritten as: \[ 1307 \times 1307 = (1300 + 7) \times (1300 + 7) \] Using the formula for the square of a sum, \( (A + B)^2 = A^2 + 2AB + B^2 \), where \( A = 1300 \) and \( B = 7 \): 1. **Calculate \( A^2 \)**: \[ A^2 = 1300^2 = 1690000 \] 2. **Calculate \( B^2 \)**: \[ B^2 = 7^2 = 49 \] 3. **Calculate \( 2AB \)**: \[ 2AB = 2 \times 1300 \times 7 = 18200 \] 4. **Combine all parts**: \[ (1300 + 7)^2 = A^2 + 2AB + B^2 = 1690000 + 18200 + 49 \] 5. **Perform the addition**: \[ 1690000 + 18200 = 1718200 \] \[ 1718200 + 49 = 1718249 \] Thus, the final answer is: \[ 1307 \times 1307 = 1718249 \] ### Final Answer: \[ 1718249 \]
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