Answer:
\(4(b+2)(b-2)\)
Step-by-step explanation:
We have been given an expression and we are asked to find the factors of our given expression.
\(4b^2-16\)
First of all we will factor out 4 from our given expression.
\(4(b^2-4)\)
We can see that \(b^2-4\) is difference of squares, so we can factor it using difference of squares formula: \(a^2-b^2=(a+b)(a-b)\).
\(4(b^2-2^2)\)
\(4(b+2)(b-2)\)
Therefore, the factored form of our given expression is \(4(b+2)(b-2)\).
