Question

factorise yz(y+z)+zx(z+x)+xy(x+y)+2xyz

Answer 1

Answer:

(x + y)(y + z)(z + x)

Step-by-step explanation:

yz(y+z)+zx(z+x)+xy(x+y)+2xyz

x²(y + z) + y²(z + x) + z²(x + y) + 2xyz

= x(xy + xz + z² + yz) + y(yz + xy + z² + xz)

= (x + y)(xy + xz + z² + yz)

= (x + y)(x(y + z) + z(z + y))

= (x + y)(y + z)(z + x)

Answer 2

Step-by-step explanation:

yz(y+z)+zx(z+X)+xy(X+y)+2xyz