To simplify the expression [tex]\( b^4 - b^8 \)[/tex], we can follow these algebraic steps:
1. Identify the Common Factor:
The terms [tex]\( b^4 \)[/tex] and [tex]\( b^8 \)[/tex] both contain a common factor of [tex]\( b^4 \)[/tex].
2. Factor Out the Common Term:
We can factor [tex]\( b^4 \)[/tex] out of both terms in the expression. This gives us:
[tex]\[
b^4 - b^8 = b^4(1 - b^4)
\][/tex]
3. Simplified Expression:
The expression is now simplified and factored. The final simplified form of [tex]\( b^4 - b^8 \)[/tex] is:
[tex]\[
b^4(1 - b^4)
\][/tex]
### Conclusion
Thus, the simplified and factored form of [tex]\( b^4 - b^8 \)[/tex] is [tex]\( b^4 (1 - b^4) \)[/tex].
