What is factor a^3+27b^6 ?

The solution to factor a^3+27b^6 is (a+3b^2)(a^2-3ab^2+9b^4)

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factor a^3+27b^6

factor

a^{3} + 27 b^{6}

(a + 3 b^{2}) (a^{2} - 3 a b^{2} + 9 b^{4})

Solution steps

a^{3} + 27 b^{6}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

a^{3} + (3 b^{2})^{3} = (a + 3 b^{2}) (a^{2} - a \cdot 3 b^{2} + (3 b^{2})^{2})

= (a + 3 b^{2}) (a^{2} - a \cdot 3 b^{2} + (3 b^{2})^{2})

Simplify

a^{2} - a \cdot 3 b^{2} + (3 b^{2})^{2} : a^{2} - 3 a b^{2} + 9 b^{4}

= (a + 3 b^{2}) (a^{2} - 3 a b^{2} + 9 b^{4})

\frac{72}{3} \cdot \frac{78}{5} \cdot \frac{73}{7}

j (- 221) e k (3 - 4)

4 (x - y)^{3} + 6 (x - y)^{2}

(1 + 7) 2 x - 2

m^{1} l^{2} t^{- 3} a^{- 2}

What is factor a^3+27b^6 ?
The solution to factor a^3+27b^6 is (a+3b^2)(a^2-3ab^2+9b^4)