What is factor 216a^3+1000b^3 ?

The solution to factor 216a^3+1000b^3 is 8(3a+5b)(9a^2-15ab+25b^2)

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factor 216a^3+1000b^3

factor

216 a^{3} + 1000 b^{3}

8 (3 a + 5 b) (9 a^{2} - 15 ab + 25 b^{2})

Solution steps

216 a^{3} + 1000 b^{3}

Factor out common term

8 : 8 (27 a^{3} + 125 b^{3})

= 8 (27 a^{3} + 125 b^{3})

Factor

27 a^{3} + 125 b^{3} : (3 a + 5 b) (9 a^{2} - 15 ab + 25 b^{2})

= 8 (3 a + 5 b) (9 a^{2} - 15 ab + 25 b^{2})

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

x^{2} + 6 2 x - 32

2 x - 2 \cdot x + 3

(- 5 x)^{4}

a^{3} x^{2} - 5 a^{3} x + 6 a^{3} + x^{2} - 5 x + 6

What is factor 216a^3+1000b^3 ?
The solution to factor 216a^3+1000b^3 is 8(3a+5b)(9a^2-15ab+25b^2)