What is (2x-4)^3-(3x+5)^3 ?

The solution to (2x-4)^3-(3x+5)^3 is -19x^3-183x^2-129x-189

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simplify (2x-4)^3-(3x+5)^3

simplify

(2 x - 4)^{3} - (3 x + 5)^{3}

- 19 x^{3} - 183 x^{2} - 129 x - 189

Solution steps

(2 x - 4)^{3} - (3 x + 5)^{3}

Expand

(2 x - 4)^{3} : 8 x^{3} - 48 x^{2} + 96 x - 64

= 8 x^{3} - 48 x^{2} + 96 x - 64 - (3 x + 5)^{3}

Expand

- (3 x + 5)^{3} : - 27 x^{3} - 135 x^{2} - 225 x - 125

= 8 x^{3} - 48 x^{2} + 96 x - 64 - 27 x^{3} - 135 x^{2} - 225 x - 125

Group like terms

= 8 x^{3} - 27 x^{3} - 48 x^{2} - 135 x^{2} + 96 x - 225 x - 64 - 125

Add similar elements:

8 x^{3} - 27 x^{3} = - 19 x^{3}

= - 19 x^{3} - 48 x^{2} - 135 x^{2} + 96 x - 225 x - 64 - 125

Add similar elements:

- 48 x^{2} - 135 x^{2} = - 183 x^{2}

= - 19 x^{3} - 183 x^{2} + 96 x - 225 x - 64 - 125

Add similar elements:

96 x - 225 x = - 129 x

= - 19 x^{3} - 183 x^{2} - 129 x - 64 - 125

Subtract the numbers:

- 64 - 125 = - 189

= - 19 x^{3} - 183 x^{2} - 129 x - 189

582 x^{2} - 9 x^{2615} - 3 x + x + 6

49 x^{4} + 70 x^{2} + 25

\frac{f ( x ) - f ( 2 )}{x - 2}

(x + 2 y)^{2} + (x - y)^{2} - 4 x y

\frac{( x + y )}{2}

What is (2x-4)^3-(3x+5)^3 ?
The solution to (2x-4)^3-(3x+5)^3 is -19x^3-183x^2-129x-189