What is factor 25t^2-120t+144 ?

The solution to factor 25t^2-120t+144 is (5t-12)^2

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factor 25t^2-120t+144

factor

25 t^{2} - 120 t + 144

(5 t - 12)^{2}

Solution steps

25 t^{2} - 120 t + 144

Rewrite in the form of

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

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

144 = 1 2^{2}

- 120 t = - 2 \cdot 5 t \cdot 12

= (5 t)^{2} - 2 \cdot 5 t \cdot 12 + 1 2^{2}

Apply Perfect Square Formula:

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

(5 t)^{2} - 2 \cdot 5 t \cdot 12 + 1 2^{2} = (5 t - 12)^{2}

= (5 t - 12)^{2}

lo g_{\frac{1}{4}} (1024)

8 (2 x - 1) - \frac{1}{4} x = \frac{7}{4} (3 - 2 x)

\frac{7}{8} - 1

5 x^{2} - 7 x + 5 = 0

4 x (x + 1) = 3

What is factor 25t^2-120t+144 ?
The solution to factor 25t^2-120t+144 is (5t-12)^2