Question

Can you tell me if this is right.

(y^2 -6y+8)(y+2)

(y^2-6y+8)y +(y^2 -6y +8)2
y(y^2-6y+8) +2(y^2-6y+8)
y*y^2 - y*-6y +y*8 + 2*y^2 - 2*-6y +2*8
y^3-6y^2+8y +2y^2+12y+16
y^3-4y^2+20y+16

I am just not sure if I put my minuses and pluses in the right spot. Please explain if it is wrong.

Answer 1

y^3-4y^2-4y+16
it is -12y + 8y

Answer 2

oh wait you wrote extra negative signs in the step before

Answer 3

Can you walk me through it from the beginning, or just we can work through it together.

Answer 4

y^3+y*(-6y)+8y+2y^2-6y*2+16
y^3-6y^2+2y^2-12y+8y+16
y^3-4y^2-4y+16

Answer 5

Then lets start at:
(y^2-6y+8)(y+2)

Answer 6

so it is not y*y^2?

Answer 7

the first term is y*y^2=y^3

Answer 8

y*(y^2-6y+8)=y^3-6y^2+8y
2*(y^2-6y+8)= 2y^2-12y+16
-------------------
y^3-4y^2-4y+16

Answer 9

Oh ok, so my first sentence is right.
y*y^2-y*6y+y*8+2*y^2 -2*-6y+2*8

So if there is anything wrong with this line let me know, is there?

Answer 10

that is right

Answer 11

So the answer is y^3-4y^2-4y+16