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

The solution to expand (2x^2-3y^3)^2 is 4x^4-12x^2y^3+9y^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

4 x^{4} - 12 x^{2} y^{3} + 9 y^{6}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 3 y^{3} + (3 y^{3})^{2} : 4 x^{4} - 12 x^{2} y^{3} + 9 y^{6}

= 4 x^{4} - 12 x^{2} y^{3} + 9 y^{6}

\frac{1}{12} + \frac{7}{15}

\frac{11}{12} - \frac{3}{4}

\frac{3 ^{3}}{3 ^{4}}

3 x + x^{2} - 10

What is expand (2x^2-3y^3)^2 ?
The solution to expand (2x^2-3y^3)^2 is 4x^4-12x^2y^3+9y^6