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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 Difference 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

\frac{3 - 2 x}{1 + x} < 0

simplify (1+i)(-1-i)simplify

(1 + i) (- 1 - i)

simplify 18*5 simplify

18 \cdot 5

2 (n - 3) \leq - 13 + 2 n

simplify (sqrt(72))/(sqrt(40))simplify

\frac{72}{40}

Frequently Asked Questions (FAQ)

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