en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (m-n)^3-m^3

Solution

factor

(m - n)^{3} - m^{3}

Solution

- n (3 m^{2} - 3 mn + n^{2})

Solution steps

(m - n)^{3} - m^{3}

(m - n)^{3} : m^{3} - 3 m^{2} n + 3 m n^{2} - n^{3}

= m^{3} - 3 m^{2} n + 3 m n^{2} - n^{3} - m^{3}

Simplify

m^{3} - 3 m^{2} n + 3 m n^{2} - n^{3} - m^{3} : - 3 m^{2} n + 3 m n^{2} - n^{3}

= - 3 m^{2} n + 3 m n^{2} - n^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

n^{3} = n n^{2}, m n^{2} = nn

= - 3 m^{2} n + 3 nn - n n^{2}

Factor out common term

- n

= - n (3 m^{2} - 3 mn + n^{2})

Popular Examples

f (a) = a + 4

factor 3/(x^2-16)factor

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

factor 9x^8+48^7+522x^6+264x factor

9 x^{8} + 4 8^{7} + 522 x^{6} + 264 x

d/(dt)((x)(ln(t)))

\frac{d}{d t} ((x) (ln (t)))

factor ax+2ay+2bx+4by factor

a x + 2 a y + 2 b x + 4 b y

Frequently Asked Questions (FAQ)

What is factor (m-n)^3-m^3 ?
The solution to factor (m-n)^3-m^3 is -n(3m^2-3mn+n^2)