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

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

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factor 49v^2-56v+16

factor

49 v^{2} - 56 v + 16

(7 v - 4)^{2}

Solution steps

49 v^{2} - 56 v + 16

Rewrite in the form of

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

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

16 = 4^{2}

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

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

Apply Perfect Square Formula:

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

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

= (7 v - 4)^{2}

(1.3 x - 0.6)^{2} = - 12

\frac{1}{3} + \frac{1}{7}

- 3 (\frac{5}{7})^{0}

1 - (- 7)

\frac{7}{25}