Find (w² - w + 1) + (w³ - 2w² + 99).

w³ - w² - w + 100

Step-by-step explanation:

The sum of (w² - w + 1) and (w³ - 2w² + 99) is:

(w² - w + 1) + (w³ - 2w² + 99)

= w² - w + 1 + w³ - 2w² + 99

= w² - 2w² - w + w³ + 99 + 1

= - w² - w + w³ + 100

= w³ - w² - w + 100

Thus, (w² - w + 1) + (w³ - 2w² + 99) = w³ - w² - w + 100.

Step-by-step explanation:

Given

(w² - w + 1) + (w³ - 2w² + 99)

Now opening the bracket we get

w² - w + 1 + w³ - 2w² + 99

Re arranging,

w³ - 2w²+w² - w + 1 + 99

w³ - w² - w+100

Thus the answer is w³ - w² - w+100