Question

x(x²+y²-z²)+y(-x²-y²+z²)-z(x²+y²-z²)​

Answer 1

Answer:

$\huge{\mathcal{\underline{\red{AnSWer}}}}$

Step-by-step explanation:

.

So, the term which is the coefficient of y i.e.,

-x²-y²+z²……(1)(say)

Taking minus (-) common from (1), we see that

The term with y coefficient becomes -(x²+y²-z²)

Now we are easy to observe that all the term with x, y and -z coefficients are equal . So now we can extract the common term which is (x²+y²-z²)……….(2)

Taking common (x²+y²-z²) with the coefficients x, y and -z gives

The required answer is (x²+y²-z²)(x+y-z)…..(3)