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

The solution to expand (y^2+x^3)^3 is y^6+3y^4x^3+3y^2x^6+x^9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

y^{6} + 3 y^{4} x^{3} + 3 y^{2} x^{6} + x^{9}

Solution steps

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

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

(y^{2})^{3} + 3 (y^{2})^{2} x^{3} + 3 y^{2} (x^{3})^{2} + (x^{3})^{3} : y^{6} + 3 y^{4} x^{3} + 3 y^{2} x^{6} + x^{9}

= y^{6} + 3 y^{4} x^{3} + 3 y^{2} x^{6} + x^{9}

(2 d^{- 7})^{4}

(x^{2} - 7 x)^{3}

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

(\frac{a + 1}{a})^{3}

(5 a + 3 b)^{3} - (5 a - 3 b)^{3}

What is expand (y^2+x^3)^3 ?
The solution to expand (y^2+x^3)^3 is y^6+3y^4x^3+3y^2x^6+x^9