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

(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

16x²-49=

(4x) ²-7²=

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

Here I have used the expression:

a²-b² = (a-b) (a+b)