Expanding (3−8w 2 ) 2
This expression represents the square of a binomial, which means it's multiplied by itself:
(3−8w 2 ) 2 = (3−8w 2 ) (3−8w 2 )
To expand this expression, we can use the FOIL method (First, Outer, Inner, Last):
- First: 3 * 3 = 9
- Outer: 3 * -8w 2 = -24w 2
- Inner: -8w 2 * 3 = -24w 2
- Last: -8w 2 * -8w 2 = 64w 4
Now, we combine the terms:
9 - 24w 2 - 24w 2 + 64w 4
Finally, we simplify by combining like terms:
64w 4 - 48w 2 + 9
Therefore, the expanded form of (3−8w 2 ) 2 is 64w 4 - 48w 2 + 9.