What is 2(3+n)^3-4+2(3+n) ?

The solution to 2(3+n)^3-4+2(3+n) is 2n^3+18n^2+56n+56

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2(3+n)^3-4+2(3+n)

simplify

2 (3 + n)^{3} - 4 + 2 (3 + n)

2 n^{3} + 18 n^{2} + 56 n + 56

Solution steps

2 (3 + n)^{3} - 4 + 2 (3 + n)

Expand

2 (3 + n)^{3} : 54 + 54 n + 18 n^{2} + 2 n^{3}

= 54 + 54 n + 18 n^{2} + 2 n^{3} - 4 + 2 (3 + n)

Expand

2 (3 + n) : 6 + 2 n

= 54 + 54 n + 18 n^{2} + 2 n^{3} - 4 + 6 + 2 n

Group like terms

= 2 n^{3} + 18 n^{2} + 54 n + 2 n + 54 - 4 + 6

Add similar elements:

54 n + 2 n = 56 n

= 2 n^{3} + 18 n^{2} + 56 n + 54 - 4 + 6

Add the numbers:

54 - 4 + 6 = 56

= 2 n^{3} + 18 n^{2} + 56 n + 56

- 3 x (x - 2) - 2 y (- 2 + x)

2 x (x + y)

\frac{1}{2} \cdot 2

(6 x - 9 - 2 x) (8 + 5 x - 5)

(8 x^{2} - 9 y^{2} - 4 x) + (x^{2} - 3 y^{2} - 7 x)

What is 2(3+n)^3-4+2(3+n) ?
The solution to 2(3+n)^3-4+2(3+n) is 2n^3+18n^2+56n+56