What is (3x+1)^3+(2x-1)^3+(2x+3)^2+8x ?

The solution to (3x+1)^3+(2x-1)^3+(2x+3)^2+8x is 35x^3+19x^2+35x+9

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simplify (3x+1)^3+(2x-1)^3+(2x+3)^2+8x

simplify

(3 x + 1)^{3} + (2 x - 1)^{3} + (2 x + 3)^{2} + 8 x

35 x^{3} + 19 x^{2} + 35 x + 9

Solution steps

(3 x + 1)^{3} + (2 x - 1)^{3} + (2 x + 3)^{2} + 8 x

Expand

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

= 27 x^{3} + 27 x^{2} + 9 x + 1 + (2 x - 1)^{3} + (2 x + 3)^{2} + 8 x

Expand

(2 x - 1)^{3} : 8 x^{3} - 12 x^{2} + 6 x - 1

= 27 x^{3} + 27 x^{2} + 9 x + 1 + 8 x^{3} - 12 x^{2} + 6 x - 1 + (2 x + 3)^{2} + 8 x

Expand

(2 x + 3)^{2} : 4 x^{2} + 12 x + 9

= 27 x^{3} + 27 x^{2} + 9 x + 1 + 8 x^{3} - 12 x^{2} + 6 x - 1 + 4 x^{2} + 12 x + 9 + 8 x

Group like terms

= 27 x^{3} + 8 x^{3} + 27 x^{2} - 12 x^{2} + 4 x^{2} + 9 x + 6 x + 12 x + 8 x + 1 - 1 + 9

Add similar elements:

27 x^{3} + 8 x^{3} = 35 x^{3}

= 35 x^{3} + 27 x^{2} - 12 x^{2} + 4 x^{2} + 9 x + 6 x + 12 x + 8 x + 1 - 1 + 9

Add similar elements:

27 x^{2} - 12 x^{2} + 4 x^{2} = 19 x^{2}

= 35 x^{3} + 19 x^{2} + 9 x + 6 x + 12 x + 8 x + 1 - 1 + 9

Add similar elements:

9 x + 6 x + 12 x + 8 x = 35 x

= 35 x^{3} + 19 x^{2} + 35 x + 1 - 1 + 9

Add the numbers:

1 - 1 + 9 = 9

= 35 x^{3} + 19 x^{2} + 35 x + 9

7 a^{3} + 56 b^{3}

x^{2} + 3 3 x + 6

2167924 - 910 b - 4 c^{2} - a^{46} - 93979 e^{31081} e

\frac{1}{x} + \frac{1}{z}

(\frac{1 - x}{2})^{- 1}

What is (3x+1)^3+(2x-1)^3+(2x+3)^2+8x ?
The solution to (3x+1)^3+(2x-1)^3+(2x+3)^2+8x is 35x^3+19x^2+35x+9