What is expand (3x^2y+4xy^2)^3 ?

The solution to expand (3x^2y+4xy^2)^3 is 27x^6y^3+108x^5y^4+144x^4y^5+64x^3y^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x^2y+4xy^2)^3

expand

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

27 x^{6} y^{3} + 108 x^{5} y^{4} + 144 x^{4} y^{5} + 64 x^{3} y^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x^{2} y)^{3} + 3 (3 x^{2} y)^{2} \cdot 4 x y^{2} + 3 \cdot 3 x^{2} y (4 x y^{2})^{2} + (4 x y^{2})^{3} : 27 x^{6} y^{3} + 108 x^{5} y^{4} + 144 x^{4} y^{5} + 64 x^{3} y^{6}

= 27 x^{6} y^{3} + 108 x^{5} y^{4} + 144 x^{4} y^{5} + 64 x^{3} y^{6}

\frac{( ( - k ) ^{3} \cdot x - k ^{4} )}{( k ^{- 3} \cdot x ( - k ^{6} ) )}

a^{3} b + b^{3}

(- \frac{2}{3} x + \frac{4}{5} y + 7)^{2}

(11 x^{1}) (11 x + 7)

(\frac{2}{3} \cdot x^{2} - \frac{1}{2} \cdot y)^{3}

What is expand (3x^2y+4xy^2)^3 ?
The solution to expand (3x^2y+4xy^2)^3 is 27x^6y^3+108x^5y^4+144x^4y^5+64x^3y^6