Explain the Error A polynomial identity for the difference of two cubes is
a²-b=(a - b)(a + ab + b). A student uses the identity to factor 64-27x².
Identify the error the student made, and then correct it.
Each term of 64-27x is a perfect cube. Let
a = 4 and b = 3x²³. Then:
64-27x=4³-(3x)³
= (4-3x³)(4+4(-3x²)+(-3x³)²)
=(4-3x)(16-12+²+9x¹)