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

The solution to (2x+2)^3+(x-3)^3 is 9x^3+15x^2+51x-19

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

simplify

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

9 x^{3} + 15 x^{2} + 51 x - 19

Solution steps

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

Expand

(2 x + 2)^{3} : 8 x^{3} + 24 x^{2} + 24 x + 8

= 8 x^{3} + 24 x^{2} + 24 x + 8 + (x - 3)^{3}

Expand

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

= 8 x^{3} + 24 x^{2} + 24 x + 8 + x^{3} - 9 x^{2} + 27 x - 27

Group like terms

= 8 x^{3} + x^{3} + 24 x^{2} - 9 x^{2} + 24 x + 27 x + 8 - 27

Add similar elements:

8 x^{3} + x^{3} = 9 x^{3}

= 9 x^{3} + 24 x^{2} - 9 x^{2} + 24 x + 27 x + 8 - 27

Add similar elements:

24 x^{2} - 9 x^{2} = 15 x^{2}

= 9 x^{3} + 15 x^{2} + 24 x + 27 x + 8 - 27

Add similar elements:

24 x + 27 x = 51 x

= 9 x^{3} + 15 x^{2} + 51 x + 8 - 27

Subtract the numbers:

8 - 27 = - 19

= 9 x^{3} + 15 x^{2} + 51 x - 19

- x^{3} - 3 x + 1 + 3 x^{2}

(- 2 x^{3} y^{3} z^{2}) (- 2 x^{2} y^{4} z^{2})^{2}

(144 k^{2} r^{14})^{\frac{1}{2}}

(y + 5)^{3}

6 m - 2 n + m + 4 n

What is (2x+2)^3+(x-3)^3 ?
The solution to (2x+2)^3+(x-3)^3 is 9x^3+15x^2+51x-19