What is factor 8a^3+729b^3 ?

The solution to factor 8a^3+729b^3 is (2a+9b)(4a^2-18ab+81b^2)

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factor 8a^3+729b^3

factor

8 a^{3} + 729 b^{3}

(2 a + 9 b) (4 a^{2} - 18 ab + 81 b^{2})

Solution steps

8 a^{3} + 729 b^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

= (2 a + 9 b) ((2 a)^{2} - 2 a \cdot 9 b + (9 b)^{2})

Simplify

(2 a)^{2} - 2 a \cdot 9 b + (9 b)^{2} : 4 a^{2} - 18 ab + 81 b^{2}

= (2 a + 9 b) (4 a^{2} - 18 ab + 81 b^{2})

\frac{2 - 5}{2 + 3 5}

\frac{1}{x - 1} - 1

- 33 - 8 - 3

24 \cdot 8

412 - 275

What is factor 8a^3+729b^3 ?
The solution to factor 8a^3+729b^3 is (2a+9b)(4a^2-18ab+81b^2)