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

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

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factor 9k^2-30k+25

factor

9 k^{2} - 30 k + 25

(3 k - 5)^{2}

Solution steps

9 k^{2} - 30 k + 25

Rewrite in the form of

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

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

25 = 5^{2}

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

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

Apply Perfect Square Formula:

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

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

= (3 k - 5)^{2}

3 (x + 5) = 2 (- 6 - x) - 2 x

\frac{n ( n + 1 )}{2} + n + 1

- \frac{24}{- 6}

x^{2} - 4 x - 17 = 4

- 2 \cdot \frac{1}{4}