Question

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

Answer 1

16x²-49=

(4x)²-7²=

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

Here I have used the expression:

a²-b²=(a-b)(a+b)

Answer 2

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