Question

Simplify: (x y + y z)²- (x y - y z)²​

Answer 1

Step-by-step explanation:

(xy+yz)

2

−(xy−yz)

2

⇒(y(x+z))

2

−[y(x−z)]

2

⇒y

2

(x+z)

2

−y

2

(x−z)

2

⇒y

2

[x

2

+z

2

+2xz−x

2

−z

2

+2xz]

⇒y

2

[4xz]

⇒4xy

2

z

∴(xy+yz)

2

−(xy−yz)

2

4xy

2

z.