Question

Evaluate 49 square minus 47 square without actually calculating the squares​

Answer 1

Hello!

Answer:

`\Large \boxed{\sf 192}`

Explanation:

→ We want to calculate 49² - 47² without actually calculating the squares​.

→ We know:

`\sf a^2 - b^2 = (a + b)(a - b)`

→ In our expression:

`\sf a = 49\\b = 47`

→ So:

`\sf 49^2 - 47^2 = (49 + 47)(49 - 47)`

→ Let's simplify the expression:

`\sf (49 + 47)(49 - 47)\\\\ = 96 * 2\\\\\boxed{\sf= 192}`

Conclusion:

49² - 47² is equal to 192.