Question

which polynomial identity can be proved using the polynomial division given below?
`a + b \sqrt{ {a}^(3 ) + b {}^(3) }`answer choices:A.
`{a}^(3) + b {}^(3) = (a + b)(a {}^(2) - 2ab + b {}^(2) )`B.
`a {}^(3) + b {}^(3) = (a + b)(a {}^(2) + ab + b {}^(2) )`C.
`a {}^(3) + b {}^(3) = (a + b)(a {}^(2) - ab + b {}^(2) )`D.
`a {}^(3) + b {}^(3) = (a + b)(a {}^(2) + 2ab + b {}^(2) )`

Answer 1

a+ b / √ (a^3 + b^3)

then

a^3 + b^3 = (a + b)•( a^2 - ab + b^2)

Then answer is, OPTION C)