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

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

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factor 16z^2-56z+49

factor

16 z^{2} - 56 z + 49

(4 z - 7)^{2}

Solution steps

16 z^{2} - 56 z + 49

Rewrite in the form of

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

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

49 = 7^{2}

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

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

Apply Perfect Square Formula:

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

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

= (4 z - 7)^{2}

\frac{3}{39}

15 + (- 15)

\frac{3}{42}

\frac{55}{11}

4 + (- 16)