The factored form of 64g^3 + 8 is (4g + 1)(16g^2 - 4g + 1).
What is factored form?
An algebraic statement can be expressed as the product of its factors using the factored form. Factors are expressions or numbers that multiply to produce the original expression.
Highlighting the sum of cubes:
64g^3 + 8 = (4g)^3 + 1^3
Applying the sum of cubes formula (a^3 + b^3 = (a + b)(a^2 - ab + b^2)):
64g^3 + 8 = (4g + 1)((4g)^2 - 4g + 1^2)
Therefore, the factored form is (4g + 1)(16g^2 - 4g + 1).