what is the length of the remaining piece of beam?

Question

A wooden beam is 7y²+5y+1 meters long. If a piece of length y²−12 meters is cut​ off, express the length of the remaining piece of beam as a polynomial in y.

Answer 1

The length of the beam is 7y2 + 5y + 1 meters long.

We cut off a piece (y2 - 12) meters long.

So basically we subtract that length so we get

7y² + 5y + 1 - (y² - 12)

Remove the parenthesis

7y² + 5y + 1 - y² + 12

Combine the like values

7y² - y² + 5y + 1 + 12

6y² + 5y + 13

So the length of the remaining piece is 6y² + 5y + 13 meters long.