Question

Find (w² + 1)(w³ - w + 1).

Answer 1

Answer:

Product is $w^5+w^2-w+1$

Step-by-step explanation:

Given: $(w^2+1)(w^3-w+1)$

Simplify the product of polynomial.

It is product of binomial with trinomial.

$\Rightarrow (w^2+1)(w^3-w+1)$

$\Rightarrow w^2(w^3-w+1)+1(w^3-w+1)$        (Distributive property)

$\Rightarrow w^2\cdot w^3-w^2\cdot w+w^2\cdot 1+w^3-w+1$  (Distributive property)

$\Rightarrow w^5-w^3+w^2+w^3-w+1$             (combine like term)

$\Rightarrow w^5+w^2-w+1$

Product is $w^5+w^2-w+1$