What is factor s^3-8t^3 ?

The solution to factor s^3-8t^3 is (s-2t)(s^2+2st+4t^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor s^3-8t^3

factor

s^{3} - 8 t^{3}

(s - 2 t) (s^{2} + 2 s t + 4 t^{2})

Solution steps

s^{3} - 8 t^{3}

Apply exponent rules

= s^{3} - (2 t)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

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

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

Simplify

s^{2} + s \cdot 2 t + (2 t)^{2} : s^{2} + 2 s t + 4 t^{2}

= (s - 2 t) (s^{2} + 2 s t + 4 t^{2})

\frac{x ^{3} - 16 x}{x ^{2} - 8 x + 16}

(a - 2)^{4}

(x^{2} - 2 x + 6) - (2 x + 11)

(8 a - 9 b)^{2}

What is factor s^3-8t^3 ?
The solution to factor s^3-8t^3 is (s-2t)(s^2+2st+4t^2)