Respuesta :

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[tex]x^2-14x+49=x^2-7x-7x+49=x(x-7)-7(x-7)=(x-7)(x-7)[/tex]

Other method:

[tex]x^2-14x+49=x^2-2\cdot x\cdot7+7^2=(x-7)^2=(x-7)(x-7)[/tex]

Used: (a - b)² = a² - 2ab + b²


Answer: (x - 7)(x - 7)

Answer:

The factors of the expression x² - 14x  + 49 are (x - 7) (x - 7) .

Step-by-step explanation:

As given the expression in the question be as follow .

= x² - 14x  + 49

This is also written as

= x² - 7x - 7x + 49

= x (x - 7)-7 (x - 7)

= (x - 7) (x - 7)

Therefore the factors of the expression x² - 14x  + 49 are (x - 7) (x - 7) .