Final answer:
The expanded form of (Y^2-9)(y^2-4) is Y^4 - 13Y^2 + 36. In polynomial standard form, it is Y^4 - 13Y^2 + 36.
Step-by-step explanation:
The given expression is (Y^2-9)(y^2-4). To expand this expression, we can use the distributive property. We multiply each term of the first binomial by each term of the second binomial and combine like terms.
Expanding the expression, we get Y^4 - 9Y^2 - 4Y^2 + 36. Combining like terms, we simplify to Y^4 - 13Y^2 + 36. This is the expanded form.
In polynomial standard form, we arrange the terms of the polynomial in descending order of their exponents. Thus, in this case, the polynomial standard form would be Y^4 - 13Y^2 + 36.