″See below ″↓
Explanation:
To square a binomial (an expression with two terms), We can use the FOIL (First, Outer, Inner, Last) method, which stands for multiplying the terms in the following way:
Let's say we have the binomial (a + b), and We want to square it:
- (a + b)² = (a + b)(a + b)
↪ Here's how we apply the FOIL method:
1. Multiply the First terms:
2. Multiply the Outer terms:
3. Multiply the Inner terms:
4. Multiply the Last terms:
Now, combine all these results:
- (a + b)(a + b) = a² + ab + ba + b²
Notice that "ab" and "ba" are the same, so we can simplify:
So, (a + b)² = a² + 2ab + b². This is the square of the binomial (a + b).
