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

The solution to (2x-3)^3-(x+5)^3 is 7x^3-51x^2-21x-152

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

simplify

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

7 x^{3} - 51 x^{2} - 21 x - 152

Solution steps

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

Expand

(2 x - 3)^{3} : 8 x^{3} - 36 x^{2} + 54 x - 27

= 8 x^{3} - 36 x^{2} + 54 x - 27 - (x + 5)^{3}

Expand

- (x + 5)^{3} : - x^{3} - 15 x^{2} - 75 x - 125

= 8 x^{3} - 36 x^{2} + 54 x - 27 - x^{3} - 15 x^{2} - 75 x - 125

Group like terms

= 8 x^{3} - x^{3} - 36 x^{2} - 15 x^{2} + 54 x - 75 x - 27 - 125

Add similar elements:

8 x^{3} - x^{3} = 7 x^{3}

= 7 x^{3} - 36 x^{2} - 15 x^{2} + 54 x - 75 x - 27 - 125

Add similar elements:

- 36 x^{2} - 15 x^{2} = - 51 x^{2}

= 7 x^{3} - 51 x^{2} + 54 x - 75 x - 27 - 125

Add similar elements:

54 x - 75 x = - 21 x

= 7 x^{3} - 51 x^{2} - 21 x - 27 - 125

Subtract the numbers:

- 27 - 125 = - 152

= 7 x^{3} - 51 x^{2} - 21 x - 152

\frac{8 i 8}{4.3}

z^{4} + 4

\frac{x ^{2} - x - 12}{x ^{2} - 9}

(x^{7})^{0}

16 x^{3} y^{2} z - 8 x^{2} y^{3} z^{2}

What is (2x-3)^3-(x+5)^3 ?
The solution to (2x-3)^3-(x+5)^3 is 7x^3-51x^2-21x-152