Question

(x+2)^4-8(x+2) factorize

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Answer 1

Step-by-step explanation:

(x+2)^4-8(x+2) = (x+2) [ (x+2)³ - 8 ]

= (x+2) [ (x+2)³ - 2³ ]

= (x+2) (x+2-2) [ (x+2)² + (x+2)(2) + 2² ]

a³ - b³ = (a-b) (a² + ab + b²)

= (x+2) (x) [ (x²+4x+4) + (2x+4) + 4 ]

= (x+2) (x) (x²+6x+12)