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The Given Factor is a Perfect Square Trinomial so the solution you'll gonna used is the PST Factor

 4 x^{2} -28 x+49 =(2 x-7)^{2} \\

We will Check If the answer is correct by using FOIL  Mathod

(2 x)(2 x)=4 x^{2}  \\  \\ (2 x)(-7)=-14 \\  \\ (-7)(2  x)=-14 \\  \\ (-7)(-7)=49


4 x^{2} -28 x+49=(2 x-7)(2 x-7)

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