What is 8-(8x-15)^3-(3x-7)^3 ?

The solution to 8-(8x-15)^3-(3x-7)^3 is -539x^3+3069x^2-5841x+3726

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simplify 8-(8x-15)^3-(3x-7)^3

simplify

8 - (8 x - 15)^{3} - (3 x - 7)^{3}

- 539 x^{3} + 3069 x^{2} - 5841 x + 3726

Solution steps

8 - (8 x - 15)^{3} - (3 x - 7)^{3}

Expand

- (8 x - 15)^{3} : - 512 x^{3} + 2880 x^{2} - 5400 x + 3375

= 8 - 512 x^{3} + 2880 x^{2} - 5400 x + 3375 - (3 x - 7)^{3}

Expand

- (3 x - 7)^{3} : - 27 x^{3} + 189 x^{2} - 441 x + 343

= 8 - 512 x^{3} + 2880 x^{2} - 5400 x + 3375 - 27 x^{3} + 189 x^{2} - 441 x + 343

Group like terms

= - 512 x^{3} - 27 x^{3} + 2880 x^{2} + 189 x^{2} - 5400 x - 441 x + 8 + 3375 + 343

Add similar elements:

- 512 x^{3} - 27 x^{3} = - 539 x^{3}

= - 539 x^{3} + 2880 x^{2} + 189 x^{2} - 5400 x - 441 x + 8 + 3375 + 343

Add similar elements:

2880 x^{2} + 189 x^{2} = 3069 x^{2}

= - 539 x^{3} + 3069 x^{2} - 5400 x - 441 x + 8 + 3375 + 343

Add similar elements:

- 5400 x - 441 x = - 5841 x

= - 539 x^{3} + 3069 x^{2} - 5841 x + 8 + 3375 + 343

Add the numbers:

8 + 3375 + 343 = 3726

= - 539 x^{3} + 3069 x^{2} - 5841 x + 3726

(4 p + 5 q)^{3}

x^{6} + 26 x^{3} - 27

x^{6} - 21 x^{3} \cdot m + 98 m^{2}

t (- 36) r (9 - 10)

(b + 3)^{3}

What is 8-(8x-15)^3-(3x-7)^3 ?
The solution to 8-(8x-15)^3-(3x-7)^3 is -539x^3+3069x^2-5841x+3726