Question #7bd4b

1 Answer
Dec 1, 2016

Answer:

#=2(2-x)(4+2x+x^2)#

Explanation:

#" "#
Factorization is determined by taking common factor and applying
#" "#
polynomial identities .
#" "#
How to factorize the given expression?
#" "#
First : Take the common factor #" "color(red)2#.
#" "#
Second : Apply the polynomial identity
#" "#
#" "color(blue)(a^3-b^3=(a-b)(a^2+ab+b^2)#
#" "#
Let's follow the steps mentioned above and factorize.
#" "#
#16-2x^3#
#" "#
#=color(red)2(8-x^3)#
#" "#
#=2(2^3-x^3)#
#" "#
#=2color(blue)((2-x)(2^2+2x+x^2))#
#" "#
#=2(2-x)(4+2x+x^2)#