Question

2. Factorise x6-y6. of polynomial
​

Answer 1

{ANSWER}

x6-y6

(x)3-(y)3

(x-y)3

Answer 2

Answer: (x+y)(x-y)(x2+xy+y2)(x2-xy+y2)

Step-by-step explanation: We can write the question as (x3)^2-(y3)^2.

The formulae used are - 1.a2-b2

2.a3+b3

3.a3-b3

So as per question -

Since a2-b2= (a+b)(a-b)

a2-b2= (x3+y3)(x3-y3)

(a+b) (a-b)

Formula=a3+b3= (a+b)(a2-ab+b2)

= x3+y3= (x+y)(x2-xy+y2)

Formula= a3-b3=(a-b)(a2+ab+b2)

= x3-y3=(x-y)(x2+xy+y2)

Therefore, (x3+y3)(x3-y3)

=(x+y)(x2-xy+y2)(x-y)(x2+xy+y2)

Ans=(x+y)(x-y)(x2-xy+y2)(x2+xy+y2)