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Popular >

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

Solution

simplify

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

Solution

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

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Frequently Asked Questions (FAQ)

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