Question

Subtract the polynomials. (5y3 + 5y2-y-12) - (y2 - 9y+ 1) The difference is (Simplify your answer.)

Answer 1

To subtract two polynomials, we have to combine similar terms, as follows:

(5y³ + 5y² - y - 12) - (y² - 9y + 1) =

= 5y³ + 5y² - y - 12 - y² + 9y - 1 =

= 5y³ + (5y² - y²) + (-y + 9y) + (-12 - 1) =

= 5y³ + 4y² + 8y - 13