Question

PLEASE ANSWER

Which of the following polynomials represent a difference of squares?

x^2-6

2x^2-9

4x^2-16

9x^2+25

Which Polynomial represents a difference of cubes?

x^3-9

x^3+27

8x^3-1

16x^3-27

Answer 1

`\text{Difference of squares}\ a^2-b^2:\\\\4x^2-16=2^2x^2-4^2=(2x)^2-4^2\\\\\text{Difference of cubes}\ a^3-b^3:\\\\8x^3-1=2^3x^3-1^3=(2x)^3-1^3`