Question

(47^2 - 46^2) / (17^2 - 14^2)

Answer 1

1

Explanation:

47^2=2209

46^2=2116

2209-2116=93

17^2=289

14^2=196

289-196=93

93÷93=1

Have a good day

Answer 2

1

Explanation:

Hello!

We can solve this by using the Difference of Squares formula:

• (a + b)(a - b) = a² - b²

47² - 46², the numerator, is very similar to a² - b², so we can extract 47 as a, and 46 as b.

Rewrite the numerator:

• 47² - 46²
• (47 + 46)(47 - 46)
• (93)(1)
• 93

We can use the same formula for the denominator the same way:

• 17² - 14²
• (17 + 14)(17 - 14)
• (31)(3)
• 93

Rewrite the fraction and simplify:

• 
  `(93)/(93)`
• 
  `\frac11`
• 1

The answer is 1.