What is (a+b)^3-27a^3 ?

The solution to (a+b)^3-27a^3 is -26a^3+3a^2b+3ab^2+b^3

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simplify (a+b)^3-27a^3

simplify

(a + b)^{3} - 27 a^{3}

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

Solution steps

(a + b)^{3} - 27 a^{3}

Expand

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

= a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3} - 27 a^{3}

Group like terms

= a^{3} - 27 a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

Add similar elements:

a^{3} - 27 a^{3} = - 26 a^{3}

= - 26 a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

\frac{( 2 ^{a + 3} - 2 ^{a + 1} )}{( 3 \cdot 2 ^{a} )}

3 sin (a) - 4 sin^{3} (a)

(5 a + b) 2

m^{4} + 4

(a^{0})^{2}