How do you write a polynomial as a difference?

Well, difference means “subtract,” so it will involve subtracting two things. Two squares means there will be two perfect squares in the difference; that is, two numbers that come from squaring other numbers (like 4, which is 2 squared, or x2, which is x times x). Type your polynomial into the box to the right.

Which polynomial can be simplified to a difference of squares?

For the polynomial: 16a^2 – 4a + 4a – 1 = 16a^2 – 1 = (4a – 1)(4a + 1). This polynomial simplifies to a difference of two squares.

What is a difference of squares polynomial?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).

How do you do difference of squares?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Which polynomial is not a difference of square?

Even though y 2 and 9 are square numbers, the expression y 2 + 9 is not a difference of squares and is not factorable. Many polynomials require more than one method of factoring to be completely factored into a product of polynomials. Because of this, a sequence of factoring methods must be used.

Which expression is a difference of squares with a factor?

Which expression is not an example of a difference of squares?

What is sum and difference of Twosquares?

The difference of two squares is a theorem that tells us if a quadratic equation can be written as a product of two binomials, in which one shows the difference of the square roots and the other shows the sum of the square roots. One thing to note about this theorem is that it does not apply to the SUM of squares.

What is the difference of the polynomials 8r6s3 9r5s4?

What is the difference between the polynomials? (8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4) Therefore, the difference between the polynomials is (8r6s3 – 5r5s4 + r4s5 + 5r3s6).

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