Question

Factors of x²yz+xy²z+xyz²
Explain in detail plz

Answer 1

Answer:

x,y,z,xyz are factors of this equation

Step-by-step explanation:

x²yz+xy²z+xyz²

x(xyz + y²z + yz²)

so x is its factor

similarly ( y ) and ( xyz ) are its factors

please mark my answer as brainliest

and rate my answer and like my answer

Answer 2

Concept:

We first need to recall the concept of factorization to solve this question.

Factorization refers to the breaking down of a number /expression into smaller numbers (called factors) which on multiplied together gives the original number.

Given:

The expression is $x^{2} yz+xy^{2}z+xyz^{2}$

To find:

The factors of the expression given.

Solution:

In the given expression,

$x^{2} yz$ = x × x × y × z

$xy^{2} z$ = x × y × y × z

$xyz^{2}$ = x × y × z × z

So, the common factors are x, y and z.

Therefore,

$x^{2} yz+xy^{2}z+xyz^{2}$ = (x × x × y × z) + (x × y × y × z) + (x × y × z × z)

                               = xyz (x+y+z)

Hence, the factors of $x^{2} yz+xy^{2}z+xyz^{2}$ are xyz and (x+y+z).