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.