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Popular >

factor r^3-1

Solution

factor

r^{3} - 1

Solution

(r - 1) (r^{2} + r + 1)

Solution steps

r^{3} - 1

Rewrite

1

as

1^{3}

= r^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

r^{3} - 1^{3} = (r - 1) (r^{2} + r + 1)

= (r - 1) (r^{2} + r + 1)

Popular Examples

factor 9m^2-49 factor

9 m^{2} - 49

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b^{2} + 2 b - 24

simplify ((4x^5)/(y^2z))^2 simplify

(\frac{4 x ^{5}}{y ^{2} z})^{2}

3 x^{2} + 27 x + 54 = 0

simplify 3^{6/18}x^{6/12}y^{5/20}simplify

3^{\frac{6}{18}} x^{\frac{6}{12}} y^{\frac{5}{20}}

Frequently Asked Questions (FAQ)

What is factor r^3-1 ?
The solution to factor r^3-1 is (r-1)(r^2+r+1)