Question

1. Factorize; 2
${2}^{4) - ( {x}^{4} - {y}^{4} )$
​

Answer 1

Answer:

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)