What is factor 25t^2-40t+16 ?

The solution to factor 25t^2-40t+16 is (5t-4)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 25t^2-40t+16

factor

25 t^{2} - 40 t + 16

(5 t - 4)^{2}

Solution steps

25 t^{2} - 40 t + 16

Rewrite in the form of

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

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

16 = 4^{2}

- 40 t = - 2 \cdot 5 t \cdot 4

= (5 t)^{2} - 2 \cdot 5 t \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

(5 t)^{2} - 2 \cdot 5 t \cdot 4 + 4^{2} = (5 t - 4)^{2}

= (5 t - 4)^{2}

24 x^{2} + 32 x + 6 x y + 8 y

\frac{25 !}{2 ! 23 !}

\frac{3}{2} - \frac{5}{3}

\frac{16 ( 5 ) - 3 ( 8 ) ^{2}}{3 ( 5 ) ^{2} - 16 ( 8 )}

\frac{x ^{\frac{1}{5}} y ^{- \frac{2}{3}}}{x ^{- \frac{3}{5}} y}