Question

x2-14x+49 factor

Answer 1

(X-7)(x-7)

Answer 2

Look at this pattern:
\(a^2 - 2ab + b^2 = (a - b)^2 \)

When you have a trinomial, such as you have, where the first term is the square of something (x^2 is the square of x), the last term is the square of something (49 is the square of 7 or -7) and the middle term is the product of 2, the first term (x), and the last term (-7), then it is the square of a binomial.

\(x^2 - 14x + 49 = (x - 7)^2 \)