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Popular >

factor 27a^3-8

Solution

factor

27 a^{3} - 8

Solution

(3 a - 2) (9 a^{2} + 6 a + 4)

Solution steps

27 a^{3} - 8

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 a - 2) (3^{2} a^{2} + 2 \cdot 3 a + 2^{2}) : (3 a - 2) (9 a^{2} + 6 a + 4)

= (3 a - 2) (9 a^{2} + 6 a + 4)

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- \frac{1}{3} \cdot \frac{2}{5}

Frequently Asked Questions (FAQ)

What is factor 27a^3-8 ?
The solution to factor 27a^3-8 is (3a-2)(9a^2+6a+4)