Question

xy(z2+1)+z(x2+y2) can be factorised as brainly in

Answer 1

Answer:

(x + zy)(xz + y)

Given:-

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

To find:-

• factorise

Solution:-

$xy( {z}^{2} + 1) + z( {x}^{2} + {y}^{2} ) \\ \\ multiply \: this \: brackets \\ \\ xy {z}^{2} + xy + z {x}^{2} + z {y}^{2} \\ \\ inter \: chmge \: the \: place \\ \\ xy {z}^{2} \: + z {x}^{2} \: + xy + z {y}^{2} \\ \\ take \: common \\ \\ xz(yz + x) + y(x + zy) \\ \\ (x + zy)(xz + y) \\ \\ henc \: it \: can \: be \: factorise \\ \\ </p><p> factorise means</p><p> expand </p><p>the brackets..</p><p>n u be find the answer.</p><p>u can re check ur ans..$