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Popular >

factor a^3+27

Solution

factor

a^{3} + 27

Solution

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

Solution steps

a^{3} + 27

Rewrite

27

as

3^{3}

= a^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

3^{2} = 9

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

Popular Examples

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9 x^{2} - 30 x y + 25 y^{2}

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2 a^{2} - 5^{2}

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x^{3} - x^{2} - 5 x - 3

4 (a + 1) = 2 (a + 8)

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3 t^{2} + 16 t - 12

Frequently Asked Questions (FAQ)

What is factor a^3+27 ?
The solution to factor a^3+27 is (a+3)(a^2-3a+9)