Question

xy(z² + 1) + z(x² + y²)

Answer 1

Step-by-step explanation:

(cz + y)

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Answer 2

Here it is given that,

$xy(z^2+1)+z(x^2+y^2)$

As we have to simplify the above expression,

Factorization is the breakdown of a large number into smaller numbers that, when multiplied together, to create the original number.

Now, factorizing the expression we get,

$=>xyz^2+xy+zx^2+zy^2$

Shifting the term,

$=>xyz^2+zx^2+xy+zy^2$

Simplifying it further, we get

$=>xz(yz+x)+y(yz+x)$

$=>(xz+y)(yz+x)$

Hence, by simplifying the expression $xy(z^2+1)+z(x^2+y^2)$ we get $(xz + y) (yz + x)$.