Question

xy(z2 + 1 ) +z (x2 + y2 )

Answer 1

$xy(z {}^{2} + 1) + z(x {}^{2} + y {}^{2} ) \\ xyz {}^{2} + xyz + xz {}^{2} + zy {}^{2} \\ z(xyz + xy + xz + y {}^{2} )$

Answer 2

Answer:

(yz+x)(zx+y)

Explanation:

Given,

xy(z²+1)+z(x²+y²)

=xyz²+xy+zx²+zy²

=xyz²+zx²+xy+zy²

=zx(yz+x)+y(z+x)

=(yz+x)(zx+y)