Question

Find HCF and LCM of (x⁴ -- y⁴) and (x³ -- y³)
​

Answer 1

Step-by-step explanation:

x

4

−3x+2=x

4

−x

3

+x

3

−x

2

+x

2

−x−2x+2

=x

3

(x−1)+x

2

(x−1)+x(x−1)−2(x−1)

=(x−1)[x

3

+x

2

+x−2]

x

3

−3x

2

+3x−1=(x−1)

3

x

4

−1=(x−1)(x+1)(x

2

+1)

HCF=x−1