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