Question

Find the continued product: (2x − 3)(2x + 3)(4x^2 + 9)

Answer 1

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

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

$= 16 {x}^{4} - 81$

Formula used here:-

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

Answer 2

(2x-3)(2x+3)(4x²+9)

[(2x)²-(3)²](4x²+9)

(4x²-9)(4x²+9)

(4x)²-(9)²

16x²-81