What is a^3-9b^3+(a+b)^3 ?

The solution to a^3-9b^3+(a+b)^3 is 2a^3-8b^3+3a^2b+3ab^2

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simplify a^3-9b^3+(a+b)^3

simplify

a^{3} - 9 b^{3} + (a + b)^{3}

2 a^{3} - 8 b^{3} + 3 a^{2} b + 3 a b^{2}

Solution steps

a^{3} - 9 b^{3} + (a + b)^{3}

Expand

(a + b)^{3} : a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

= a^{3} - 9 b^{3} + a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

Group like terms

= a^{3} + a^{3} - 9 b^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}

Add similar elements:

a^{3} + a^{3} = 2 a^{3}

= 2 a^{3} - 9 b^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}

Add similar elements:

- 9 b^{3} + b^{3} = - 8 b^{3}

= 2 a^{3} - 8 b^{3} + 3 a^{2} b + 3 a b^{2}

\frac{27 a}{3}

\frac{( ( x ^{4} - 1 ) )}{( x - 1 )}

(6 x + 4 y)^{3}

x^{4} + x^{2} \cdot y^{2} + y^{4}

4 a^{2} - 9 b^{2} - 2 a - 3 b

What is a^3-9b^3+(a+b)^3 ?
The solution to a^3-9b^3+(a+b)^3 is 2a^3-8b^3+3a^2b+3ab^2