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timmyandjimmer timmyandjimmer
  • 24-05-2024
  • Mathematics
Answered

Factor completely 16x2 − 25

Verified Answer :

jimrgrant1 jimrgrant1
  • 24-05-2024

Answer:

(4x - 5)(4x + 5)

Step-by-step explanation:

given

16x² - 25 ← this is a difference of squares and factors in general as

• a² - b² = (a - b)(a + b)

then

16x² - 25

= (4x)² - 5² ← with a = 4x and b = 5

= (4x - 5)(4x + 5) ← in factored form

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