What is factor a^3+3a^2b+3ab^2+b^3 ?

The solution to factor a^3+3a^2b+3ab^2+b^3 is (a+b)^3

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factor a^3+3a^2b+3ab^2+b^3

factor

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

(a + b)^{3}

Solution steps

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

Apply cube of sum rule:

x^{3} + 3 x^{2} y + 3 x y^{2} + y^{3} = (x + y)^{3}

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

= (a + b)^{3}

(3 y + 2)^{2}

\frac{( 2 x - 3 y )}{7} - \frac{( x - 2 y )}{2} + \frac{( 5 x - y )}{14}

\frac{2 x}{12} + \frac{x}{3} - \frac{3 x}{4}

(6 x + 4) (6 x - 4)

What is factor a^3+3a^2b+3ab^2+b^3 ?
The solution to factor a^3+3a^2b+3ab^2+b^3 is (a+b)^3