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

The solution to (2x+1)^3+(x-3)^3 is 9x^3+3x^2+33x-26

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

simplify

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

9 x^{3} + 3 x^{2} + 33 x - 26

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

12 x^{2} - 9 x^{2} = 3 x^{2}

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

Add similar elements:

6 x + 27 x = 33 x

= 9 x^{3} + 3 x^{2} + 33 x + 1 - 27

Subtract the numbers:

1 - 27 = - 26

= 9 x^{3} + 3 x^{2} + 33 x - 26

64 z^{3} + 125

(a + b)^{4} + 4

- 6.8 (n - 8.9) - 8.4 (n + 11.4)

sin^{2} (x) - sin^{2} (y)

(3 a + b^{2})^{4}