What is factor 16x^2-56x+49 ?

The solution to factor 16x^2-56x+49 is (4x-7)^2

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factor 16x^2-56x+49

factor

16 x^{2} - 56 x + 49

(4 x - 7)^{2}

Solution steps

16 x^{2} - 56 x + 49

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

16 x^{2} = (4 x)^{2}

49 = 7^{2}

- 56 x = - 2 \cdot 4 x \cdot 7

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

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

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

= (4 x - 7)^{2}

(\frac{2}{3})^{- 2} + 2

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