im supposed to multiply this one

(y to the power of 2-3)(5ypower of 2-2y+2)=

its (6y to the power of 2 not 5 y

(y^2 - 3)(6y^2 -2y + 2) (I am assuming this is what you mean. "^" = "power of" online

-3(6y^2 -2y + 2) = -18y^2 + 6y - 6

(y^2)(6y^2 -2y + 2) = 6y^4 - 2y^3 + 2y^2

Combine like terms.

To multiply the given expression, you need to apply the distributive property. Let's break it down step by step:

(y^2 - 3) (5y^2 - 2y + 2)

Step 1: Multiply the first term of the first binomial (y^2) by each term of the second binomial:
(y^2) * (5y^2 - 2y + 2) = 5y^4 - 2y^3 + 2y^2

Step 2: Multiply the second term of the first binomial (-3) by each term of the second binomial:
(-3) * (5y^2 - 2y + 2) = -15y^2 + 6y - 6

Step 3: Combine the two results from step 1 and step 2:
(5y^4 - 2y^3 + 2y^2) + (-15y^2 + 6y - 6)

Step 4: Simplify by combining like terms:
5y^4 - 2y^3 + 2y^2 - 15y^2 + 6y - 6

To perform any further simplification, we would need any additional instructions or context.