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Popular >

factor 64g^3-1

Solution

factor

64 g^{3} - 1

Solution

(4 g - 1) (16 g^{2} + 4 g + 1)

Solution steps

64 g^{3} - 1

Apply exponent rules

= (4 g)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(4 g)^{3} - 1^{3} = (4 g - 1) (4^{2} g^{2} + 4 g + 1)

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

4^{2} = 16

= (4 g - 1) (16 g^{2} + 4 g + 1)

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Frequently Asked Questions (FAQ)

What is factor 64g^3-1 ?
The solution to factor 64g^3-1 is (4g-1)(16g^2+4g+1)