9y**2-25yz-6z**2
Multiply first and last terms
9*-6=-54
Find factors of -54
2,-27 = 2+-27=-25
-2,27 = -2+27=25
Rewrite
9y**2-27zy+2zy-6z**2
Factor pairs of terms
9y**2-27zy = 9y(y-3z)
2zy-6z**2= 2z(y-3z)
9y**2-27zy+2zy-6z**2= 9y(y-3z)+2z(y-3z)
Factor:
9y(y-3z)+2z(y-3z) = (y-3z)(9y+2z)
Chat with our AI personalities
If the missing sign is minus then you have the difference of two squares so: (2x + 3y)(2x - 3y)
Oh, what a happy little question! When we see 3y to the 2nd power, it means we are multiplying 3 by y two times. So the answer is 3y * y, which simplifies to 3y^2. Just imagine those y's dancing together on the canvas of mathematics!