Final answer:
To factor the sum of two cubes, use the formula (a^3 + b^3) = (a + b)(a^2 - ab + b^2).
Step-by-step explanation:
To factor the sum of two cubes, we can use the formula:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Using this formula, we can factor q^3 + 64r^3 as follows:
q^3 + 64r^3 = (q + 4r)(q^2 - 4qr + 16r^2)
So, the factored form of q^3 + 64r^3 is (q + 4r)(q^2 - 4qr + 16r^2).
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