Answer:
[tex]b(b+7)(b-7)[/tex]
Step-by-step explanation:
Start by factoring a [tex]b[/tex] out:
[tex]b(b^2-49b)[/tex]
For the term [tex]b^2-49b[/tex], we're looking for two numbers that add up to 0 and multiply to be -49:
[tex]7+(-7)=0,\\7\cdot -7=-49\\[/tex]
Two numbers: [tex]7\text{ and }-7[/tex]
Therefore, we have:
[tex]\boxed{b(b+7)(b-7)\checkmark}[/tex]