Question

How do you factorize this?

Answer 1

xyz+xy+yz+zx

Answer 2

Lets factor by grouping... what letter or letters can you take out from.. basically what is the same

xyz +xy

Answer 3

xy(z+1)

Answer 4

Good ...

yz +zx

Answer 5

z(y+x)

Answer 6

xy(z+1) + z(y+x)

Answer 7

but I want it to converge to smt like this
(1+x)(1+y)(1+z)

Answer 8

(xy+z)(z+1)(y+x)

Answer 9

Do you understand? I took what was on the outside and put them together... then just brought down the rest.

Answer 10

yep

Answer 11

now?

Answer 12

how will it reduce to (1+x)(1+y)(1+z) ?

Answer 13

I don't even think that is legal to factor it more... is that an answer choice?

Answer 14

well the exact question is
Let x, y, z be three non-negative integers such that x + y + z = 10. The maximum possible value of xyz +
xy + yz + zx is