Complete the formula: 4ab = ____?
- (a + b)^2 - (a - b)^2
- (a + b)^2 + (a - b)^2
- (a - b)^2 - (a + b)^2
- (a + b)(a - b)
Explanation
The formula 4ab can be factored as:
4ab = (a + b)^2 - (a - b)^2
This is a difference of squares identity, where (a + b)^2 expands to a^2 + 2ab + b^2, and (a - b)^2 expands to a^2 - 2ab + b^2.
Subtracting these two expressions eliminates the a^2 and b^2 terms, leaving 4ab.
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