en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 3m^2n^3+5m^4n

Solution

factor

3 m^{2} n^{3} + 5 m^{4} n

Solution

m^{2} n (3 n^{2} + 5 m^{2})

Solution steps

3 m^{2} n^{3} + 5 m^{4} n

Apply exponent rule:

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

m^{2} n^{3} = m^{2} n n^{2}, m^{4} n = m^{2} m^{2} n

= 3 m^{2} n n^{2} + 5 m^{2} m^{2} n

Factor out common term

m^{2} n

= m^{2} n (3 n^{2} + 5 m^{2})

Popular Examples

simplify (5x^3+21x^2+17x-3)/(x+3)simplify

\frac{5 x ^{3} + 21 x ^{2} + 17 x - 3}{x + 3}

factor x^2-a^2+x-a^2*x factor

x^{2} - a^{2} + x - a^{2} \cdot x

simplify (2/((x^2+1)))e^logx simplify

(\frac{2}{( x ^{2} + 1 )}) e^{l} o gx

expand (x-1)^3(x+1)^2 expand

(x - 1)^{3} (x + 1)^{2}

simplify ((a+b))/((a/(12)+b/6))simplify

\frac{( a + b )}{( \frac{a}{12} + \frac{b}{6} )}

Frequently Asked Questions (FAQ)

What is factor 3m^2n^3+5m^4n ?
The solution to factor 3m^2n^3+5m^4n is m^2n(3n^2+5m^2)