x 2 − 14 x + 49 = x 2 − 7 x − 7 x + 49 = x ( x − 7 ) − 7 ( x − 7 ) = = ( x − 7 ) ( x − 7 ) = ( x − 7 ) 2
X^2-14x+49 factored: (x-7)(x-7)
-7 x -7 is 49 and -7 + -7 is -14
The expression x 2 − 14 x + 49 can be factored as ( x − 7 ) 2 , indicating it is a perfect square trinomial. This means that the expression represents the square of the binomial x − 7 . Therefore, the answer is ( x − 7 ) 2 .
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