Question

Factor the expression below. x^2-10x+25 A. (x + 5)(x + 5) B. (x - 5)(x - 5) C. 5(x2 - x + 5) D. (x - 5)(x + 5)

Answer 1

x^2- 10x +25

= (x - 5)^2

= (x - 5)(x - 5)

Answer

B. (x - 5)(x - 5)

Answer 2

Answer: The correct option is

(B)
`(x-5)(x-5).`

Step-by-step explanation: We are given to factor the following expression :

`E=x^2-10x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following factorization formula :

`(a-b)^2=a^2-2ab+b^2.`

From (i), we have

`E\\\\=x^2-10x+25\\\\=x^2-2* x* 5+5^2\\\\=(x-5)^2\\\\=(x-5)(x-5).`

Thus, the required factored form of the given expression is
`(x-5)(x-5).`

Option (B) is CORRECT.