(8-3a^2)(2a^2+6)=

less than a minute read Jun 16, 2024
(8-3a^2)(2a^2+6)=

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.

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