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Popular >

factor x^3-729

Solution

factor

x^{3} - 729

Solution

(x - 9) (x^{2} + 9 x + 81)

Solution steps

x^{3} - 729

Rewrite

729

as

9^{3}

= x^{3} - 9^{3}

Apply Difference of Cubes Formula:

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

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

= (x - 9) (x^{2} + 9 x + 9^{2})

9^{2} = 81

= (x - 9) (x^{2} + 9 x + 81)

Popular Examples

factor 18x^{4p+m}-66x^{2p+m}y^2-24x^my^4 factor

18 x^{4 p + m} - 66 x^{2 p + m} y^{2} - 24 x^{m} y^{4}

4/5 (x-2)< 1/3 (x-6)

\frac{4}{5} (x - 2) < \frac{1}{3} (x - 6)

3x^2-2.4x+0.41=0

3 x^{2} - 2.4 x + 0.41 = 0

simplify 30^4 simplify

3 0^{4}

simplify (sqrt(15xy))/(3sqrt(10xy^3))simplify

\frac{15 x y}{3 10 x y ^{3}}

Frequently Asked Questions (FAQ)

What is factor x^3-729 ?
The solution to factor x^3-729 is (x-9)(x^2+9x+81)