Answer:
1
Step-by-step explanation:
Hello!
We can solve this by using the Difference of Squares formula:
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:
- [tex]\frac{93}{93}[/tex]
- [tex]\frac11[/tex]
- 1
The answer is 1.
