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

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

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factor 9z^2-30z+25

factor

9 z^{2} - 30 z + 25

(3 z - 5)^{2}

Solution steps

9 z^{2} - 30 z + 25

Rewrite in the form of

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

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

25 = 5^{2}

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

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

Apply Perfect Square Formula:

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

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

= (3 z - 5)^{2}

(- 3 + 6 i) (- 3 - 6 i)

- \frac{1}{4} \div \frac{10}{9}

\frac{60}{68}

1 \frac{1}{2} \cdot 1 \frac{2}{3}

- 11 - (- 11)