Answer:
[tex]w^{5} + w^{2} - w + 1[/tex]
Step-by-step explanation:
We have to find the simplified expression of [tex](w^{2} + 1) (w^{3} - w + 1)[/tex].
Now, we have to multiply each term using the distributive property of multiplication.
So, [tex](w^{2} + 1) (w^{3} - w + 1)[/tex]
= [tex]w^{2} \times (w^{3} - w + 1) + 1 \times (w^{3} - w + 1)[/tex]
= [tex](w^{5} - w^{3} + w^{2} ) + (w^{3} - w + 1)[/tex]
= [tex]w^{5} + w^{2} - w + 1[/tex] (Answer)
