Question

Factorise: x^4 – y
^4​

Answer 1

Answer:

Step-by-step explanation:

We need to factorise x  

4

−y  

4

 

The given expression can be factorised by using property (a  

2

−b  

2

)=(a+b)(a−b)

It can be written as x  

4

−y  

4

=(x  

2

)  

2

−(y  

2

)  

2

 

Here a=x  

2

,b=y  

2

 

Hence, (x  

4

−y  

4

)=(x  

2

+y  

2

)(x  

2

−y  

2

)=(x  

2

+y  

2

)(x+y)(x−y)

Answer 2

Answer:

(x²)²-(y²)² now aply the identity x²-y²=(x+y)(x-y)

(x²+y²)(x²-y²) now apply the identity again x²-y²=(x+y)(x-y)

(x²+y²)(x+y)(x-y)

so the ans is (x²+y²)(x+y(x-y)

hope it help you

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