What is factor a^6-729 ?

The solution to factor a^6-729 is (a+3)(a-3)(a^2+9+3a)(a^2+9-3a)

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factor a^6-729

factor

a^{6} - 729

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

Solution steps

a^{6} - 729

Apply exponent rules

= (a^{2})^{3} - 9^{3}

Apply Difference of Cubes Formula:

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

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

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

Factor

a^{2} - 9 : (a + 3) (a - 3)

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

Factor

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

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

s^{2} + 0.2 s + 0.1 = 0

- 6 - 4

∣ x - 3 ∣ \leq 4

3 x - 5 \geq 19

1000 (0.5)^{\frac{70}{30}}

What is factor a^6-729 ?
The solution to factor a^6-729 is (a+3)(a-3)(a^2+9+3a)(a^2+9-3a)