Question

1. Is (x-3)(x²+3x+6) a Difference of cubes? 2.Is(2x+4)(4x²-8x+16)the sum of cubes?

Answer 1

Yes to both questions if for question 1, it is a 9 and not a 6

Explanation:

Difference of cubes is given by the general form:
`x^3-y^3=(x-y)(x^2+xy+y^2)`

Sum of cubes is given by the general form:
`x^3+y^3=(x+y)(x^2-xy+y^2)`

Therefore, Question 1 is difference of cubes ie `(x-3)(x^2+3x+9)`
and Question 2 is sum of cubes ie `(2x+4)(4x^2-8x+16)`