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Popular >

factor 8m^3-1

Solution

factor

8 m^{3} - 1

Solution

(2 m - 1) (4 m^{2} + 2 m + 1)

Solution steps

8 m^{3} - 1

Apply exponent rules

= (2 m)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(2 m)^{3} - 1^{3} = (2 m - 1) (2^{2} m^{2} + 2 m + 1)

= (2 m - 1) (2^{2} m^{2} + 2 m + 1)

2^{2} = 4

= (2 m - 1) (4 m^{2} + 2 m + 1)

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Frequently Asked Questions (FAQ)

What is factor 8m^3-1 ?
The solution to factor 8m^3-1 is (2m-1)(4m^2+2m+1)