x^2- 10x +25
= (x - 5)^2
= (x - 5)(x - 5)
Answer
B. (x - 5)(x - 5)
Answer: The correct option is
(B) [tex](x-5)(x-5).[/tex]
Step-by-step explanation: We are given to factor the following expression :
[tex]E=x^2-10x+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following factorization formula :
[tex](a-b)^2=a^2-2ab+b^2.[/tex]
From (i), we have
[tex]E\\\\=x^2-10x+25\\\\=x^2-2\times x\times 5+5^2\\\\=(x-5)^2\\\\=(x-5)(x-5).[/tex]
Thus, the required factored form of the given expression is [tex](x-5)(x-5).[/tex]
Option (B) is CORRECT.
