Factoring.

Question

4x^4=108x

Answer 1

4x⁴ = 108x

 

4x⁴ - 108x = 0

 

4x(x³ -27) = 0

 

Now x³ - 27 = x³ - 3³ is a difference of cubes which has a standard factor formula: a³-b³ = (a+b)(a²-ab+b²).  Hence we get:

 

(4x)(x³-3³) = (4x)(x+3)(x²-3x+9)