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

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

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factor 49m^2-56m+16

factor

49 m^{2} - 56 m + 16

(7 m - 4)^{2}

Solution steps

49 m^{2} - 56 m + 16

Rewrite in the form of

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

49 m^{2} = (7 m)^{2}

16 = 4^{2}

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

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

Apply Perfect Square Formula:

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

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

= (7 m - 4)^{2}

(3 x - 4 y)^{5}

3 x + 24

3 x - 24

(\frac{2}{3} w^{9} - x^{t})^{2}

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