Question

Plz
Factorise, x^12-1

Answer 1

Answer:

+1(x^12-1)

Step-by-step explanation:

here we should take 1 as common bcz here no number is common

we should always remember that if there is no common we should take 1 as common

Answer 2

Answer:

here your answer

Step-by-step explanation:

x12−1

Let us make x^12 into something which we can recognize easily.

x12=x6⋅2=(x6)2 We have used amn=(am)n

(x6)2−12 Now it is of form a2−b2

(x6−1)(x6+1)

Let us factorize x6−1

x6−1=(x3)2−12 Rewriting x6 to get into a2−b2 form

x6−1=(x3−1)(x3+1)

x6−1=(x−1)(x2+x+1)(x+1)(x2−x+1)

Now to factorize (x6+1)

x6+1=(x2)3+13 Rewriting x6 to get it into a3+b3 form

x6+1=(x2+1)(x4−x2+1)

Factors of (x6−1)(x6+1)

=(x−1)(x2+x+1)(x+1)(x2−x+1)(x2+1)(x4−x2+1)

Rearranging

(x−1)(x+1)(x2+1)(x2−x+1)(x2+x+1)(x4−x2+1).... .. . ..