paytonsewell paytonsewell
  • 03-03-2020
  • Mathematics
contestada

What is the factorization of the expression below 16x^2-49

Respuesta :

Danboghiu66
Danboghiu66 Danboghiu66
  • 03-03-2020

16x²-49=

(4x)²-7²=

(4x-7)(4x+7)

Here I have used the expression:

a²-b²=(a-b)(a+b)

Answer Link
marcthemathtutor
marcthemathtutor marcthemathtutor
  • 03-03-2020

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

16x² - 49

realize that 16 = 4² and 49 = 7²

Substituting these values into the expression,

16x² - 49

= 4²x² - 7²

= (4x)² - 7²

recall the algebra property :  a² - b² = (a+b)(a-b)

Applying this to our expression:

(4x)² - 7²

= (4x-7)(4x+7)     Answer

Answer Link

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