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Popular >

factor 8s^3-27

Solution

factor

8 s^{3} - 27

Solution

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

Solution steps

8 s^{3} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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