Factor completely 8y

^2-33y+25

We are given the equation 8y^2 - 33y + 25.

First multiply the first and the last coefficients: 8x25 = 200

Now we need to factorize 200 such that these factors add up to the middle coefficient - 33. By trial and error, we find that

200 = (-8) x (-25)

and

-25 - 8 = - 33

So,

8y^2 - 33y + 25

= 8y^2 - 25y - 8y + 25

= y (8y - 25) - (8y - 25)

= (y-1) (8y - 25)