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

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

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factor 9t^2-30t+25

factor

9 t^{2} - 30 t + 25

(3 t - 5)^{2}

Solution steps

9 t^{2} - 30 t + 25

Rewrite in the form of

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

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

25 = 5^{2}

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

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

Apply Perfect Square Formula:

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

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

= (3 t - 5)^{2}

(4^{3})^{5}

9 - \frac{3}{\frac{1}{3}} + 1

\frac{1}{3 ^{- 4}}

x^{3} + 8 x^{2} + 25 x + 26

- \frac{5}{8} n = - 0.4