Question #3b142

1 Answer
Mia
Apr 30, 2017

Factorization is determined either by taking common factor
#" "#
or applying the polynomial properties :
#" "#
Common Factor:
#color(green)(ab+ad=a(b+d)#
#" "#
Polynomial Property:
#color(blue)(a^3-b^3=(a-b)(a^2+ab+b^2))#
#" "#
#24t^3-3#
#" "#
#=3xx8xxt^3-3xx1#
#" "#
#=color(green)(3(8t^3-1))#
#" "#
#=3((2t)^3-1^3)#
#" "#
#=3color(blue)((2t-1)((2t)^2+(2t)(1)+1^2)#
#" "#
#=3(2t-1)(4t^2+2t+1)#

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