What is factor 3x^5y^2-12x^3y^5 ?

The solution to factor 3x^5y^2-12x^3y^5 is 3x^3y^2(x^2-4y^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 3x^5y^2-12x^3y^5

factor

3 x^{5} y^{2} - 12 x^{3} y^{5}

3 x^{3} y^{2} (x^{2} - 4 y^{3})

Solution steps

3 x^{5} y^{2} - 12 x^{3} y^{5}

Apply exponent rule:

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

x^{5} y^{2} = x^{3} x^{2} y^{2}, x^{3} y^{5} = x^{3} y^{2} y^{3}

= 3 x^{3} x^{2} y^{2} - 12 x^{3} y^{2} y^{3}

Rewrite

- 12

4 \cdot 3

= 3 x^{3} x^{2} y^{2} + 4 \cdot 3 x^{3} y^{2} y^{3}

Factor out common term

3 x^{3} y^{2}

= 3 x^{3} y^{2} (x^{2} - 4 y^{3})

10 - 4 x \leq - 6

lo g_{2} (\frac{1}{6})

- 1 \cdot \frac{1}{2}

\frac{1}{5} + \frac{2}{3}

lo g_{49} (7)

What is factor 3x^5y^2-12x^3y^5 ?
The solution to factor 3x^5y^2-12x^3y^5 is 3x^3y^2(x^2-4y^3)