# Which of the expression bellow can be factored using the different of square method 17x^2-23y^2

Which of the expression bellow can be factored using the different of square method 17x^2-23y^2

## This Post Has 10 Comments

1. coltonduggan says:

A. $9x^2 - 16y^2$ .

Step-by-step explanation:

A difference of squares problem is factored as :$a^2 - b^2 = (a + b)(a - b)$For this both terms in the form of squares and a minus sign between them.

From all the options only option A has both terms square and they minus sign between them.

Also, $9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)$

Here a= 3x and b= 4

Hence, the correct answer is A. $9x^2 - 16y^2$ .

2. rebtav says:

The difference of the squares method is a short-cut method that is expressed a2 - b2 = ( a + b ) *(a-b). In this case, a2 and b2 should be perfect squares in which a and b are the square roots. In this case, 100 and 49 are perfect squares, hence the answer is C.

3. okokalyssa says:

C

Step-by-step explanation:

4. sjanem03 says:

25x^2 - 64y^2

The first thing you can do is look for a subtraction sign. The word difference implies subtraction, so you can rule out any expressions that add terms. Secondly, you can look for squares. 17x^2 - 23y^2 is a subtraction expression, but 17 and 23 are not squares. However, 25x^2 - 64x^2 is a subtraction expression and its terms are squares. 25 = 5x5, 64 = 8x8. Hope this helps!

5. mshields1994 says:

C

Step-by-step explanation:

A difference of squares can be factored in general as

a² - b² = (a - b)(a + b)

We are looking for 2 terms separated by a - and perfect squares on either side. The only one meeting this criteria is

25x² - 64y²

= (5x)² - (8y)²

= (5x - 8y)(5x + 8y) ← in factored form

6. texas101st78 says:

100x2 - 49y2 is the answer

The expression that can be factored using the difference of squares method:
C) $100x^{2}-49y^{2}$
Factorization:
$100x^{2}-49y^{2} = (10x+7y)*(10x-7y)$

It would be D because both are positive and are square roots

9. deb2710 says:

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:
$x^2-y^2$
can be factored as follows:
$(x-y)(x+y)$

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e. $25x^2-64y^2$
which can be factored as follows:
$(5x-8y)(5x+8y)$.

10. mterzic1 says:

Some examples of the difference of 2 squares are as ffoolows:-

x^2 -  1

36y^2 - 4x^2

a^2 - b^2

z^2 - 16

Note each term is a perfect square and theres a negative sign in between them