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

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

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factor 25z^2-30z+9

factor

25 z^{2} - 30 z + 9

(5 z - 3)^{2}

Solution steps

25 z^{2} - 30 z + 9

Rewrite in the form of

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

25 z^{2} = (5 z)^{2}

9 = 3^{2}

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

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

Apply Perfect Square Formula:

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

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

= (5 z - 3)^{2}

(\frac{3 x ^{2} y ^{4}}{z})^{3}

24 \div \frac{1}{3}

(2 x - 11)^{2} + 2 (2 x - 11) - 15

26 \cdot 24

i^{7} + i^{5} + i^{3} + i