What is factor b^6-81c^6 ?

The solution to factor b^6-81c^6 is (b^3+9c^3)(b^3-9c^3)

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factor b^6-81c^6

factor

b^{6} - 81 c^{6}

(b^{3} + 9 c^{3}) (b^{3} - 9 c^{3})

Solution steps

b^{6} - 81 c^{6}

b^{6} = (b^{3})^{2}

81 c^{6} = (9 c^{3})^{2}

= (b^{3})^{2} - (9 c^{3})^{2}

Apply Difference of Two Squares Formula:

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

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

= (b^{3} + 9 c^{3}) (b^{3} - 9 c^{3})

50 0^{2} + 60 0^{2} + 36 0^{2}

+ (- 4.9) (1.2)

- \frac{21}{- 3}

- \frac{20}{3}

(x^{3} - 2 x^{2}) - (x^{2} - 6)

What is factor b^6-81c^6 ?
The solution to factor b^6-81c^6 is (b^3+9c^3)(b^3-9c^3)