(-3a%5E2%2B5)%3D.jpeg "(3a^2-1)(-3a^2+5)=")
Expanding the Expression: (3a^2 - 1)(-3a^2 + 5)
This expression involves multiplying two binomials. To solve it, we can use the FOIL method, which stands for:
- First: Multiply the first terms of each binomial.
- Outer: Multiply the outer terms of the binomials.
- Inner: Multiply the inner terms of the binomials.
- Last: Multiply the last terms of each binomial.
Let's apply FOIL to our expression:
Step 1: First (3a^2)(-3a^2) = -9a^4
Step 2: Outer (3a^2)(5) = 15a^2
Step 3: Inner (-1)(-3a^2) = 3a^2
Step 4: Last (-1)(5) = -5
Step 5: Combine the terms
-9a^4 + 15a^2 + 3a^2 - 5
Step 6: Simplify by combining like terms
-9a^4 + 18a^2 - 5
Therefore, the expanded form of the expression (3a^2 - 1)(-3a^2 + 5) is -9a^4 + 18a^2 - 5.