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How to solve square of bionomial

User Jtdubs
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1 Answer

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″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:

  • (a × a) = a²

2. Multiply the Outer terms:

  • (a × b) = ab

3. Multiply the Inner terms:

  • (b × a) = ba

4. Multiply the Last terms:

  • (b × b) = b²

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:

  • a² + 2ab + b²

So, (a + b)² = a² + 2ab + b². This is the square of the binomial (a + b).


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User Michael Iles
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