Question

Find the product:
(x + y - x)(x²+ y² + z²- xy + yz + zx)​

Answer 1

Answer:

x²+y²+z²-3xyz

........ ..........

Answer 2

Answer:

x³+y³-z³+3xyz

Step-by-step explanation:

instead of direct multiplication, better if you can understand the formula,

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

Now to obtain the expression in the question, a=x, b=y, c= -z.

Therefore, (x+y-z)[x²+y²+z²-xy - y*(-z) - (-z)*x]

= x³+y³+(-z)³-3xy*(-z)

= x³+y³-z³+3xyz