Two factors of x²-12x+36 are
(x-6) and (x-6)
Solution;
x²-12x +36
x²-6x -6x +36 ( split -12x in two parts such that if add them we will get-12x and if multiply will get 36x²)
Taking x common from first two terms and 6 from next two terms
x(x-6) -6(x -6)
taking (x-6) common
(x-6)(x-6)
Answer:
[tex]x^2 - 12x + 36 = (x-6)(x-6) = (x-6)^2[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]x^2 - 12x + 36[/tex]
We need to factor the given expression.
We will do this with the help of technique of splitting the middle term.
Factorization can be done as:
[tex]x^2-12x + 36\\=x^2 - 6x-6x+36\\=x(x-6)-6(x-6)\\=(x-6)(x-6)\\=(x-6)^2[/tex]
Thus, the factored form of given expression is:
[tex]x^2 - 12x + 36 = (x-6)(x-6) = (x-6)^2[/tex]
