Write as a product

Question

Write as a product

bx^2 +2b^2–b3–2x^2

Write as a productbx² +2b²–b³–2x²

Answer 1

bx² + 2b² - b³ - 2x²  = (bx² - b³) + (2b² - 2x²)

 

                             = b(x² - b²) - 2(x² - b²)

 

                             = (x² - b²)(b - 2)

 

                             = (x-b)(x+b)(b-2)