Question

Factor the following sum of two cubes. q^3 + 64r^3

Answer 1

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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