What is 8a^6-(2a+3b)^3 ?

The solution to 8a^6-(2a+3b)^3 is 8a^6-8a^3-36a^2b-54ab^2-27b^3

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simplify 8a^6-(2a+3b)^3

simplify

8 a^{6} - (2 a + 3 b)^{3}

8 a^{6} - 8 a^{3} - 36 a^{2} b - 54 a b^{2} - 27 b^{3}

Solution steps

8 a^{6} - (2 a + 3 b)^{3}

(2 a + 3 b)^{3} : 8 a^{3} + 36 a^{2} b + 54 a b^{2} + 27 b^{3}

= 8 a^{6} - (8 a^{3} + 36 a^{2} b + 54 a b^{2} + 27 b^{3})

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

= 8 a^{6} - 8 a^{3} - 36 a^{2} b - 54 a b^{2} - 27 b^{3}

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

\frac{( x ^{2} - 4 x + 4 )}{( x ^{2} - 4 )}

3 - 6 y - 24

\frac{( 2 x ^{4} + 3 x ^{3} - 2 x - 3 )}{( 2 x + 3 )}

\frac{12 f - 32}{( 2 f )}

What is 8a^6-(2a+3b)^3 ?
The solution to 8a^6-(2a+3b)^3 is 8a^6-8a^3-36a^2b-54ab^2-27b^3