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Expanding the Expression (8 - 3a^2)(2a^2 + 6)
This expression involves multiplying two binomials, which can be done using the FOIL method (First, Outer, Inner, Last). Here's how it works:
1. First: Multiply the first terms of each binomial.
- (8)(2a^2) = 16a^2
2. Outer: Multiply the outer terms of the binomials.
- (8)(6) = 48
3. Inner: Multiply the inner terms of the binomials.
- (-3a^2)(2a^2) = -6a^4
4. Last: Multiply the last terms of each binomial.
- (-3a^2)(6) = -18a^2
5. Combine like terms:
- 16a^2 + 48 - 6a^4 - 18a^2 = -6a^4 - 2a^2 + 48
Therefore, the expanded form of (8 - 3a^2)(2a^2 + 6) is -6a^4 - 2a^2 + 48.