What is expand (3x^3+y^3)^2 ?

The solution to expand (3x^3+y^3)^2 is 9x^6+6x^3y^3+y^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x^3+y^3)^2

expand

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

9 x^{6} + 6 x^{3} y^{3} + y^{6}

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(3 x^{3} + y^{3})^{2} = (3 x^{3})^{2} + 2 \cdot 3 x^{3} y^{3} + (y^{3})^{2}

= (3 x^{3})^{2} + 2 \cdot 3 x^{3} y^{3} + (y^{3})^{2}

Simplify

(3 x^{3})^{2} + 2 \cdot 3 x^{3} y^{3} + (y^{3})^{2} : 9 x^{6} + 6 x^{3} y^{3} + y^{6}

= 9 x^{6} + 6 x^{3} y^{3} + y^{6}

\frac{12}{132}

48 n^{4}

\frac{45}{5}

6 v - 18

- 25 x^{2}

What is expand (3x^3+y^3)^2 ?
The solution to expand (3x^3+y^3)^2 is 9x^6+6x^3y^3+y^6