Factor the Expression: 14xyz + 8x²y³z Step by Step

Question

Decompose the following expression into factors:

14xyz+8x2y3z 14xyz+8x^2y^3z

Video Solution

Step-by-Step Solution

First, we break down all the powers into multiplication exercises and at the same time try to reduce the integers as much as possible:

 

7*2*xyz+2*4*x*x*y*y²*z

Now we use the substitution property to arrange the equation into a more manageable form:

2*x*y*z*7+2*x*y*z*x*y²

Lastly we try to find the common factor among all the parts - 2xyz

2xyz(7+xy²)

Answer

2xyz(7+4xy2) 2xyz(7+4xy^2)