Question

Solve (x² - 16)(x² - 9) = 0

Answer 1

Answer:

x=-4,4,-3,3

Step-by-step explanation:

Factor by the difference of two squares

${x}^{2} - {y}^{2} = (x + y)(x - y)$

${x}^{2} - 16 = (x + 4)(x - 4) \\ {x}^{2} - 9 = (x + 3)( x - 3)$

$(x + 4)(x - 4)(x + 3)(x - 3) = 0$

Therefore, our answer is x = -4,4,-3,3