What is factor 36t^2-60t+25 ?

The solution to factor 36t^2-60t+25 is (6t-5)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 36t^2-60t+25

factor

36 t^{2} - 60 t + 25

(6 t - 5)^{2}

Solution steps

36 t^{2} - 60 t + 25

Rewrite in the form of

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

36 t^{2} = (6 t)^{2}

25 = 5^{2}

- 60 t = - 2 \cdot 6 t \cdot 5

= (6 t)^{2} - 2 \cdot 6 t \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

(6 t)^{2} - 2 \cdot 6 t \cdot 5 + 5^{2} = (6 t - 5)^{2}

= (6 t - 5)^{2}

b^{2} + 9 b + 20

(- \frac{2}{5})^{5}

\frac{1}{5 + 6}

(5 x^{2} y^{3})^{2}

9 (2 k + 3) + 2 = 11 (k - 5)