Question

Simplify ( xy + yz )² - 2xy²z *​

Answer 1

Answer:

x²+y²

Step-by-step explanation:

(xy+yz)²-2xy²z

$( a + b)^2 = {a}^{2} + 2ab + {b}^{2}$

(xy+yz)²- 2xy²z = x²+2xy²z+b²- 2xy²z

=x²+2xy²z+b²- 2xy²z

$+ 2x {y}^{2}z \: and \: - 2x {y}^{2}z \: are \: cancled$

= x²+y²