How do you Determine if a Polynomial is the Difference of Two Squares

In the previous post we have discussed about Factoring Polynomials Calculator and In today's session we are going to discuss about How do you Determine if a Polynomial is the Difference of Two Squares. Hi friends, in mathematics, we will see different methods to solve a polynomial expression. Before learning How do you Determine if a Polynomial is the Difference of Two Squares. First it is necessary to learn about definition of polynomial. Polynomial can be defined as any types of expression that can be written using constant, variable and exponent values in it. For example: 4ab² + 7xy² – 4x – 25. Given example is a polynomial expression. Now we will understand that How do you Determine if a Polynomial is the Difference of Two Squares. Steps to follow to determine polynomial differences are shown below: (know more about Polynomial, here)

Step 1: The word difference means subtraction. It means subtract one value to other value. For example: The difference of 9 and 3 is given as 3, in mathematical it can be written as: 9 – 6 = 3.

Step 2: If we want to calculate if a polynomial is the difference we need to subtract one polynomial value other polynomial value.

Step 3: Then we have to check the answer that it matches a given polynomial or not.

Step 4: To satisfy the above statement, the given polynomial can be ready to be factorized into two different factors. For example we have an polynomial expression: p² – q². As we see this, it is an difference of polynomial two squares. If we find the factor of given example then it can be written as:

= p² – q², on finding it factor we get:

= (p + q) (p – q), here we get the difference of two squares.

In this square polynomial case power value of square should be even, if power of polynomial expression are odd then it is not square polynomial. In this way we can easily solve the square polynomial expression.

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