Question

Find the difference of (4y2 - 2y - 5) and (y² - y + 8).4у2 - 3у - 133у2 - у - 135y2 - 3y + 33у2 - 3у + 3

Answer 1

Explanation

We must find the difference between the following polynomials:

$\begin{gathered} f_1(y)=4y^2-2y-5, \\ f_2(y)=y^2-y+8. \end{gathered}$

The difference between the polynomials is obtained by subtracting the coefficient of terms with equal power of y:

$\begin{gathered} f_1(y)-f_2(y) \\ =\left(4y^2-2y-5\right)-\left(y^2-y+8\right) \\ =\left(4y^2-y^2\right)+\left(-2y+y\right)+\left(-8-5\right) \\ =3y^2-y-13. \end{gathered}$Answer

3y² - y - 13