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

The solution to expand (2x^2-3x)^3 is 8x^6-36x^5+54x^4-27x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

8 x^{6} - 36 x^{5} + 54 x^{4} - 27 x^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x^{2})^{3} - 3 (2 x^{2})^{2} \cdot 3 x + 3 \cdot 2 x^{2} (3 x)^{2} - (3 x)^{3} : 8 x^{6} - 36 x^{5} + 54 x^{4} - 27 x^{3}

= 8 x^{6} - 36 x^{5} + 54 x^{4} - 27 x^{3}

5 \frac{4}{9}

\frac{11}{12} + (- \frac{7}{12})

(- 8) + (- 4)

3 x^{4} - 6 x^{3} - x^{2}

\frac{( x ^{2} - 4 )}{x - 2}

What is expand (2x^2-3x)^3 ?
The solution to expand (2x^2-3x)^3 is 8x^6-36x^5+54x^4-27x^3