Question

factorise (z)² — (x²y²)​

Answer 1

Answer:

Given : x

2

+y

2

−z

2

−2xy

We can write it as

x

2

+y

2

−z

2

−2xy =(x

2

+y

2

−2xy)−z

2

So we get

x

2

+y

2

−z

2

−2xy =(x−y)

2

−z

2

Based on the equation a

2

−b

2

=(a+b)(a−b)

We get ,

x

2

+y

2

−z

2

−2xy =(x−y+z)(x−y−z)

Answer 2

Answer:

(z+xy)(z-xy)

Step-by-step explanation:

Given,

(z)^2-{(x)^(2)(y)^(2)}

(i)Rewrite it in the form a^2-b^2,where a=z and b=xy

(z)^2-(xy)^2

(i)Use differences of squares:a^2-b^2=(a+b)(a-b).

(z+xy)(z-xy)

Done

Thanks

Hope it helps you.