Question

Factor the polynomial. 8x3 - 27w3 Select the correct choice below and, if necessary, fill in the an O A. 8x3 - 27w3 O B. The polynomial cannot be factored. Click to select and enter your answ

Answer 1

The answer is option - A

Rewrote 8X³ = (2X) ³

27W³    = ​(3w) ³

^{since both terms are perfect cube factor}

^{​​​​​​use difference of cube formula i.e}

a³ - b³ = (a - b)(a² + ab + b²).

We're a = 2x and b = 3w

(2x - (3w) ) ( (2x) ² - 2x(3w) + (3w)² )

(2x- 3w) (4x² - 6xw + 9w²)

^{​​​​​}