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

Decompose the following expression into factors:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Take out common factor
00:03 Factor 14 into factors 7 and 2
00:11 Factor 8 into factors 4 and 2
00:15 Break down the square into products
00:19 Break down power of 3 into square and product
00:26 Mark the common factors
00:37 Take out the common factors from parentheses
00:54 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Decompose the following expression into factors:

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

2

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)

3

Final Answer

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

Practice Quiz

Test your knowledge with interactive questions

Break down the expression into basic terms:

\( 4x^2 + 6x \)

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