What is factor 5ye^{xy^5}+5xy^3e^{xy^5} ?

The solution to factor 5ye^{xy^5}+5xy^3e^{xy^5} is 5e^{y^5x}y(1+y^2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 5ye^{xy^5}+5xy^3e^{xy^5}

factor

5 y e^{x y^{5}} + 5 x y^{3} e^{x y^{5}}

5 e^{y^{5} x} y (1 + y^{2} x)

Solution steps

5 y e^{x y^{5}} + 5 x y^{3} e^{x y^{5}}

Apply exponent rule:

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

y^{3} = y y^{2}

= 5 y e^{y^{5} x} + 5 x y y^{2} e^{y^{5} x}

Rewrite as

= 1 \cdot 5 y e^{y^{5} x} + 5 y e^{y^{5} x} x y^{2}

Factor out common term

5 y e^{y^{5} x}

= 5 y e^{y^{5} x} (1 + x y^{2})

f (x) = x + 2

f (x) = x + 4

e^{e^{2} - 1}

a^{2} x - a^{2} - 4 b^{2} x + 4 b^{2}

3 ab - 3 b c - a + c

What is factor 5ye^{xy^5}+5xy^3e^{xy^5} ?
The solution to factor 5ye^{xy^5}+5xy^3e^{xy^5} is 5e^{y^5x}y(1+y^2x)