sunwen
Answered

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

Sagot :

CharityGatlin

Answer:

1

Step-by-step 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

chetankachana

Answer:

1

Step-by-step 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:

  • [tex]\frac{93}{93}[/tex]
  • [tex]\frac11[/tex]
  • 1

The answer is 1.

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