Question

factorize : a⁴-(b+c)⁴.​.plz don't spam .spam answers will be reported⚠️​

Answer 1

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We need to factorise a

4

−(b+c)

4

The given expression can be factorised by using property (x

2

−y

2

)=(x+y)(x−y)

It can be written as a

4

−(b+c)

4

=(a

2

)

2

−[(b+c)

2

]

2

Here x=a

2

,y=(b+c)

2

Hence, (a

4

−(b+c)

4

)=(a

2

+(b+c)

2

)(a

2

−(b+c)

2

)=(a

2

+(b+c)

2

)(a+b+c)(a−b−c)

Hence, the factors are (a

2

+(b+c)

2

),(a+b+c),(a−b−c).