What is (x-11)^3-(x+11)^3 ?

The solution to (x-11)^3-(x+11)^3 is -66x^2-2662

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simplify (x-11)^3-(x+11)^3

simplify

(x - 11)^{3} - (x + 11)^{3}

- 66 x^{2} - 2662

Solution steps

(x - 11)^{3} - (x + 11)^{3}

Expand

(x - 11)^{3} : x^{3} - 33 x^{2} + 363 x - 1331

= x^{3} - 33 x^{2} + 363 x - 1331 - (x + 11)^{3}

Expand

- (x + 11)^{3} : - x^{3} - 33 x^{2} - 363 x - 1331

= x^{3} - 33 x^{2} + 363 x - 1331 - x^{3} - 33 x^{2} - 363 x - 1331

Group like terms

= x^{3} - x^{3} - 33 x^{2} - 33 x^{2} + 363 x - 363 x - 1331 - 1331

Add similar elements:

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

= - 33 x^{2} - 33 x^{2} + 363 x - 363 x - 1331 - 1331

Add similar elements:

- 33 x^{2} - 33 x^{2} = - 66 x^{2}

= - 66 x^{2} + 363 x - 363 x - 1331 - 1331

Add similar elements:

363 x - 363 x = 0

= - 66 x^{2} - 1331 - 1331

Subtract the numbers:

- 1331 - 1331 = - 2662

= - 66 x^{2} - 2662

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

5 (x^{2} y)^{3}

(a - b)^{7}

\frac{( x ^{- 2} - 6 x ^{- 3} )}{( 6 x ^{- 2} - 36 x ^{- 3} )}

\frac{- 2 - [ 7 - ( - 1 ) ^{4} ( x ^{6} ) ^{1} ]}{( - 3 )}