Question

X(x+z) - y(y+z) factorize this completely.

Answer 1

Answer:-

x( x + z ) - y ( y + z ) = 0

= x² + zx - y² - zy = 0

x² + zx = 0

= x² = -zx

x = -z

Similarly,

-y² - zy = 0

= y² = -zy

y = -z

We notice that thus quadratic equation has two equal and real roots, hence x = y