What is (3x+2)^3+(3x-2)^3-54x^3 ?

The solution to (3x+2)^3+(3x-2)^3-54x^3 is 72x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x+2)^3+(3x-2)^3-54x^3

simplify

(3 x + 2)^{3} + (3 x - 2)^{3} - 54 x^{3}

72 x

Solution steps

(3 x + 2)^{3} + (3 x - 2)^{3} - 54 x^{3}

Expand

(3 x + 2)^{3} : 27 x^{3} + 54 x^{2} + 36 x + 8

= 27 x^{3} + 54 x^{2} + 36 x + 8 + (3 x - 2)^{3} - 54 x^{3}

Expand

(3 x - 2)^{3} : 27 x^{3} - 54 x^{2} + 36 x - 8

= 27 x^{3} + 54 x^{2} + 36 x + 8 + 27 x^{3} - 54 x^{2} + 36 x - 8 - 54 x^{3}

Group like terms

= 27 x^{3} + 27 x^{3} - 54 x^{3} + 54 x^{2} - 54 x^{2} + 36 x + 36 x + 8 - 8

Add similar elements:

27 x^{3} + 27 x^{3} - 54 x^{3} = 0

= 54 x^{2} - 54 x^{2} + 36 x + 36 x + 8 - 8

Add similar elements:

54 x^{2} - 54 x^{2} = 0

= 36 x + 36 x + 8 - 8

Add similar elements:

36 x + 36 x = 72 x

= 72 x + 8 - 8

Subtract the numbers:

8 - 8 = 0

= 72 x

42.25

129 ∣ 129 ∣

(2 y + 2)^{2}

\frac{2}{1 - 0.25} + 0.3

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

What is (3x+2)^3+(3x-2)^3-54x^3 ?
The solution to (3x+2)^3+(3x-2)^3-54x^3 is 72x