What is (3x-1)^3+(x-4)^3 ?

The solution to (3x-1)^3+(x-4)^3 is 28x^3-39x^2+57x-65

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x-1)^3+(x-4)^3

simplify

(3 x - 1)^{3} + (x - 4)^{3}

28 x^{3} - 39 x^{2} + 57 x - 65

Solution steps

(3 x - 1)^{3} + (x - 4)^{3}

Expand

(3 x - 1)^{3} : 27 x^{3} - 27 x^{2} + 9 x - 1

= 27 x^{3} - 27 x^{2} + 9 x - 1 + (x - 4)^{3}

Expand

(x - 4)^{3} : x^{3} - 12 x^{2} + 48 x - 64

= 27 x^{3} - 27 x^{2} + 9 x - 1 + x^{3} - 12 x^{2} + 48 x - 64

Group like terms

= 27 x^{3} + x^{3} - 27 x^{2} - 12 x^{2} + 9 x + 48 x - 1 - 64

Add similar elements:

27 x^{3} + x^{3} = 28 x^{3}

= 28 x^{3} - 27 x^{2} - 12 x^{2} + 9 x + 48 x - 1 - 64

Add similar elements:

- 27 x^{2} - 12 x^{2} = - 39 x^{2}

= 28 x^{3} - 39 x^{2} + 9 x + 48 x - 1 - 64

Add similar elements:

9 x + 48 x = 57 x

= 28 x^{3} - 39 x^{2} + 57 x - 1 - 64

Subtract the numbers:

- 1 - 64 = - 65

= 28 x^{3} - 39 x^{2} + 57 x - 65

5 x^{4} - 80 y^{4}

x^{3} + x^{2} - 16 x + 20

y^{3} + y^{2} - 4 y - 64

a^{0.2} - 16 + 26 - 2 \cdot 3 + 3 (2 \cdot 4)

(1 + a + b)^{3}

What is (3x-1)^3+(x-4)^3 ?
The solution to (3x-1)^3+(x-4)^3 is 28x^3-39x^2+57x-65