What is factor w^3-8t^3n^6 ?

The solution to factor w^3-8t^3n^6 is (w-2n^2t)(w^2+2n^2wt+4n^4t^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor w^3-8t^3n^6

factor

w^{3} - 8 t^{3} n^{6}

(w - 2 n^{2} t) (w^{2} + 2 n^{2} wt + 4 n^{4} t^{2})

Solution steps

w^{3} - 8 t^{3} n^{6}

Rewrite

8 t^{3} n^{6}

(2 t n^{2})^{3}

= w^{3} - (2 t n^{2})^{3}

Apply Difference of Cubes Formula:

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

w^{3} - (2 t n^{2})^{3} = (w - 2 t n^{2}) (w^{2} + w 2 t n^{2} + (2 t n^{2})^{2})

= (w - 2 t n^{2}) (w^{2} + w 2 t n^{2} + (2 t n^{2})^{2})

Simplify

(w - 2 t n^{2}) (w^{2} + w \cdot 2 t n^{2} + (2 t n^{2})^{2}) : (w - 2 n^{2} t) (w^{2} + 2 n^{2} wt + 4 n^{4} t^{2})

= (w - 2 n^{2} t) (w^{2} + 2 n^{2} wt + 4 n^{4} t^{2})

+ 10 m + 3 (n - 8) - 7 (m - 12) + 9 n

\frac{d ^{2} - 3 d - 18}{d + 3}

f (c) = c - 9

e^{6 x} - e^{x}

\frac{3}{4 \frac{5}{6}}

What is factor w^3-8t^3n^6 ?
The solution to factor w^3-8t^3n^6 is (w-2n^2t)(w^2+2n^2wt+4n^4t^2)