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

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โˆ™ 2015-10-01 02:16:00
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Q: What are the attributes of a polynomial expression that is a difference of squares?
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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.


Factor the polynomial 81x2-25?

(9x + 5)(9x - 5) That is a special polynomial called the difference of 2 squares


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

First determine if both of the terms are squares. You can determine numerical squares by taking the square root. If the answer is a whole number, it's a square. All even numbered exponents are squares. If the sign between them indicates subtraction, you have a "difference of squares."


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

Difference


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.


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)


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 the factored form of the expression 64 - x2?

62


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)


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 many threes are in a model for Factoring expression?

actor a GCF from the expression, if possible. Factor a Trinomial, if possible. Factor a Difference Between Two Squares as many times as possible.


What are squares of living?

The only squares I can think of related to life is "three squares", as in the expression, "All I need are 3 squares and a bed." That expression means, "All I need are three nutritious meals and a place to sleep."


What is the difference of two is an expression that conatins two perfect squares with one subtracted from the other?

The difference of two squares is equivalent to the sum, times the difference, of the numbers that are squared. In symbols: a2 - b2 = (a + b)(a - b) Here is an example with numbers: 102 - 92 = (10+9)(10-9)


Which expression represents the factored form of nine x squared minus thirtysix?

You can use the formula for factoring the difference of two squares in this case.


How can you factor a polynomial in standard form completely?

You can factor a polynomial using one of these steps: 1. Factor out the greatest common monomial factor. 2. Look for a difference of two squares or a perfect square trinomial. 3. Factor polynomials in the form ax^2+bx+c into a product of binomials. 4. Factor a polynomial with 4 terms by grouping.


Factor the expression x squared - eighty one?

This is a difference of two square, so you can apply the factoring rule for the difference of two squares.


In the polynomial below what number should replace the blank to produce a difference of squares x2 plus x - 25?

x**2+0x-25 --> (x+5)(x-5)


Factoring this expression as difference of squares c2-6cd plus 9d2-4?

(c - 3d - 2)(c - 3d + 2)


Factoring this expression as difference of squares c-6cd plus 9d-4?

(c - 3d - 2)(c - 3d + 2)


What is difference of 2 squares?

The difference of 2 squares ca n be expressed as: x2 - y2


What is X to the second power minus 25 simplified?

x2 - 25This expression is the difference of squares. Thus:x2 - 52(x + 5)(x - 5).


How do you solve 9a squares - 100b squared?

-91


What is the difference between 3 squares and 4 squares?

GFYM


Which properties of mutiplication are used to simplify complex fractions?

The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.