with multiplying this:
9y^2-9)(8y^2-9y+3)
I have:
8y^2(y^2-9)-9y(y^2-9)+3(y^-9) THEN
8y^2*y^2-9-9y*y^2-9+3*y^2-9.... THEN
8y^8 - 6 ???
I think that I am lost
(9y^2-9)(8y^2-9y+3)
= 72y^4 - 81y^3 + 27y^2 - 72y^2 + 81y - 27
(can you see what I did ?)
= 72y^4 - 81y^3 - 45y^2 + 81y - 27
(the y^2's were the only "like" terms )
OOOPPPPSS!!!
I wrote the problem wrong...
Multiply (y^2)(8y^2-9y+3)
then go with the first part of my 'THEN'
Now it is easier
(y^2)(8y^2-9y+3)
just multiply the y^2 by each of the terms inside
= 8y^4 - 9y^3 + 3y^2
All done, since none of the terms are "like"
and that's it??? That's right, it cannot be simplified b/c of no like terms!!!
WHEW!!!
You're on the right track, but there seems to be some errors in your calculations. Let's go through the steps of multiplying the expression correctly.
To multiply (9y^2 - 9) by (8y^2 - 9y + 3), you need to distribute each term in the first expression to each term in the second expression.
Step 1: Multiply the first term of the first expression (9y^2) by each term in the second expression (8y^2, -9y, 3):
(9y^2) * (8y^2) = 72y^4
(9y^2) * (-9y) = -81y^3
(9y^2) * (3) = 27y^2
Step 2: Multiply the second term of the first expression (-9) by each term in the second expression (8y^2, -9y, 3):
(-9) * (8y^2) = -72y^2
(-9) * (-9y) = 81y
(-9) * (3) = -27
Step 3: Now, combine all the terms you obtained:
72y^4 - 81y^3 + 27y^2 - 72y^2 + 81y - 27
Simplifying this expression further by combining like terms:
72y^4 - 81y^3 - 45y^2 + 81y - 27
So the correct simplified expression, after multiplying (9y^2 - 9) by (8y^2 - 9y + 3), is:
72y^4 - 81y^3 - 45y^2 + 81y - 27.