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

The solution to (x+2)^3+(x-3)^3 is 2x^3-3x^2+39x-19

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

simplify

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

2 x^{3} - 3 x^{2} + 39 x - 19

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{3} + x^{3} = 2 x^{3}

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

Add similar elements:

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

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

Add similar elements:

12 x + 27 x = 39 x

= 2 x^{3} - 3 x^{2} + 39 x + 8 - 27

Subtract the numbers:

8 - 27 = - 19

= 2 x^{3} - 3 x^{2} + 39 x - 19

(\frac{2 a ^{3}}{b ^{4}})^{3}

z^{2} - z + 1 - i

(3 - 6) y (- 24)

\frac{( x ^{2} - 2 x - 15 )}{( x + 3 )}

947 - 229004 - g