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All terms have even powers, factorable to the form (a+b)(a-b)

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How do you determine if a polynomial is the difference of two squares?

"Difference" implies subtraction. Example: The difference of 8 and 5 is 3 because 8 - 5 = 3. To determine if a polynomial is the difference you probably have to subtract one polynomial from another and check if your answer matches a given polynomial. To clarify the above, the polynomial should be able to be factorised into two distinct factors. For example x^2 - y^2 = (x + y)(x - y). This is the difference of two squares.


What Factor the expression given below. Write each factor as a polynomial in descending order. x2 - 4?

It is x^2 -4 = (x-2)(x+2) when factored and it is the difference of two squares


In general how would you factor the polynomial F2 - G2?

(F-G)(F+G) The difference of two squares.


In general how would you factor the polynomial C2 - D2?

There is a formula for the difference of squares. In this case, the answer is (C + D)(C - D)


What is an expression that contains two perfect squares with one subtracted from the other?

Difference


Determine whether81 - 49n to the 8 power is a difference of two squares If so factor it If not explain why?

This expression is the difference of squares. It can be factored to (9 - 7n4)(9 + 7n4)


What 3 things must be true for difference of squares apply?

For the difference of squares to apply, the expression must be in the form (a^2 - b^2), where both (a) and (b) are real numbers. Additionally, (a) and (b) must be perfect squares, meaning they can be expressed as squares of other real numbers. Lastly, the subtraction must be between these two squares, ensuring that it is indeed a difference.


What is the factorization Of the expression 25x2 - 36?

There is a formula for the "difference of squares." In this case, the answer is (5x - 6)(5x + 6)


What must be true for an expression to be a difference of two squares?

For an expression to be a difference of two squares, it must be in the form (a^2 - b^2), where both (a) and (b) are real numbers or algebraic expressions. This means that the first term must be a perfect square, and the second term must also be a perfect square. The expression can then be factored as ((a - b)(a + b)).


What is the factored form of the expression 64 - x2?

62


The process of writing a number algrebraic expression as a product?

what is the process of writing a expression as a product? is it Factoring, Quadractic equation, perfect Square trinomial or difference of two squares


How do you factorise completely?

To factorise a polynomial completely, first look for the greatest common factor (GCF) of the terms and factor it out. Next, apply techniques such as grouping, using the difference of squares, or recognizing special patterns (like trinomials or perfect squares) to break down the remaining polynomial. Continue this process until you can no longer factor, resulting in a product of irreducible factors. Always check your work by expanding the factors to ensure you return to the original polynomial.