Question

Factor the difference of two perfect squares using the X method. An x-method chart shows the product a c at the top of x and b at the bottom of x. What are the two binomial factors for x2 – 25? (x – 5)(x – 5) (x 5)(x 5) (x – 20)(x 5) (x – 5)(x 5).

Answer 1

By using x-method we got that factorization $x^2-25$  is (x+5)(x-5)

What is factorization ?

factorization is writing a expression as a product of several factors.

So Given polynomial is

$x^2-25$

Now we will factorise  this using x method

Here a=1     b=0 and c= -25

so ac=-25

Now We will write -25 at the top.

and 0 at the bottom.

No we will find two numbers that multiply to the top number -25 and add to the bottom number 0. Hence those numbers are -5 and 5.

Now we can write equation as

$x^2-5x+5x-25\\\\x(x-5)+5(x-5)\\\\(x+5)(x-5)$

By using x-method we got that factorization $x^2-25$  is (x+5)(x-5)

To learn more about factorization  visit : brainly.com/question/11579257