what is the length of the remaining piece

Question

A wooden beam is (3y^2+6y+1) meters long. If a piece of length (y^2-8) meters is cut​ off, express the length of the remaining piece of beam as a polynomial in y.

Answer 1

If you know the total length of anything and part of it is cut off how much is remaining?

This is a subtraction problem, don't get confused because it contains polynomial.

Total length - part cut off = amount remaining

(3y² + 6y + 1) - (y² - 8) distribute the negative

3y² + 6y +1 - y² + 8 = 2y²+ 6y + 9