Answer:
3m(1-2m)(4m²+2m+1)
Step-by-step explanation:
3m - 24m⁴ (factorize 3m)
=3m(1) - 3m(8m³)
= 3m (1-8m³)
=3m (1³ - 2³·m³)
=3m [ 1³ - (2m)³ ]
recall the cubic formula:
a³ + b³ = (a+b)(a² - ab + b²)
if we apply this to [ 1³ - (2m)³ ], we will eventually get
= 3m(1-2m)(4m²+2m+1)
edit: last step got cut off. fixed
edit 2: by request, i added more detail to the last 2 steps
