Question

simplify = (x+4y+z) (x+y-z)

Answer 1

Answer:

=> x+4y+z+x+y-z

=x+x+4y+y+z-z

=> 2x+5y+0

=>2x+5y

Answer 2

Answer:-

$\\ \sf\longmapsto (x+4y+z)(x+y-z)$

• Use distributive law

$\\ \sf\longmapsto x(x+y-z)+4y(x+y-z)+z(x+y-z)$

$\\ \sf\longmapsto x^2+xy-xz+4xy+4y^2-4yz+xz+yz-z^2$

• Combine like terms

$\\ \sf\longmapsto x^2+4y^2-z^2+xy+4xy-xz+xz-4yz+yz$

$\\ \sf\longmapsto x^2-4y^2-z^2+5xy-3yz$