What is factor 9v^2-30v+25 ?

The solution to factor 9v^2-30v+25 is (3v-5)^2

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factor 9v^2-30v+25

factor

9 v^{2} - 30 v + 25

(3 v - 5)^{2}

Solution steps

9 v^{2} - 30 v + 25

Rewrite in the form of

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

9 v^{2} = (3 v)^{2}

25 = 5^{2}

- 30 v = - 2 \cdot 3 v \cdot 5

= (3 v)^{2} - 2 \cdot 3 v \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

(3 v)^{2} - 2 \cdot 3 v \cdot 5 + 5^{2} = (3 v - 5)^{2}

= (3 v - 5)^{2}

2 \cdot x^{2} - 4 \cdot x + 1 = 0

1000 y^{9} - m^{15}

25 n^{3} + 15 n^{2} + 20 n + 12

x^{\frac{5}{2}} - 36 x^{\frac{1}{2}}

- 5 x > 20