Question

Consider the polynomial p(x)=16x^4 - 81y^4. Which of the following are equivalent expressions?

Answer 1

Answer: (2x^2 - 3y^2)(2x^2 + 3y^2)(4x^2 + 9y^2)

Step-by-step explanation:

Formula to remind: $(A^2 - B^2) = (A-B)(A+B)$

$16x^4 - 81y^4 = (4x^2 - 9y^2)(4x^2 + 9y^2) = (2x^2 - 3y^2)(2x^2 + 3y^2)(4x^2 + 9y^2)$