What is the quotient of open paren x cubed plus 8 close paren divided by open paren x plus 2 close paren ?

Use the sum-of-cubes identity: a³ + b³ = (a + b)(a² − ab + b²). With a = x and b = 2, x³ + 8 = (x + 2)(x² − 2x + 4). Dividing by x + 2 leaves x² − 2x + 4, so the correct choice is x squared minus 2 x plus 4.

AI-written and checked against the verified answer.