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Popular >

factor 8m^3-27

Solution

factor

8 m^{3} - 27

Solution

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

Solution steps

8 m^{3} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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