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

$E\\\\=x^2-10x+25\\\\=x^2-2\times x\times 5+5^2\\\\=(x-5)^2\\\\=(x-5)(x-5).$

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

Option (B) is CORRECT.