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

The solution to (2x-1)^3+(2-2x)^3 is 12x^2-18x+7

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

simplify

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

12 x^{2} - 18 x + 7

Solution steps

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

Expand

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

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

Expand

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

= 8 x^{3} - 12 x^{2} + 6 x - 1 + 8 - 24 x + 24 x^{2} - 8 x^{3}

Group like terms

= 8 x^{3} - 8 x^{3} - 12 x^{2} + 24 x^{2} + 6 x - 24 x - 1 + 8

Add similar elements:

8 x^{3} - 8 x^{3} = 0

= - 12 x^{2} + 24 x^{2} + 6 x - 24 x - 1 + 8

Add similar elements:

- 12 x^{2} + 24 x^{2} = 12 x^{2}

= 12 x^{2} + 6 x - 24 x - 1 + 8

Add similar elements:

6 x - 24 x = - 18 x

= 12 x^{2} - 18 x - 1 + 8

Add the numbers:

- 1 + 8 = 7

= 12 x^{2} - 18 x + 7

2 x^{2} + 8 x^{5}

61.5 - 3 x + y + 6

\frac{- 6 x}{( - \frac{3}{5} )}

sin^{4} (x) - sin^{2} (cos^{2} (x))

(\frac{( 3 a ^{2} \cdot b )}{( 12 a \cdot b ^{4} )})^{- 2}