factorise:a^12 + b^12
Answers
Answered by
55
heya man !! good question !!
a^12 - b^12
USE FORMULA a^2 - b^2 = ( a+b) ( a-b)
(a^6 + b^6) ( a^6 - b^6)
( a^6 + b^6) ( a^3 + b^3) ( a^3 - b^3)
USE FORMULAS a^3 + b^3 = ( a+b) ( a^2 -ab + b^2)
AND a^3 - b^3 = ( a-b) ( a^2 + ab + b^2)
(a^2 + b^2) ( a^4 -a^2b^2 + b^4) ( a+ b) (a^2 -ab+b^2) ( a-b) (a^2 +ab + b^2)
hope it helps
@ himanshu jha ✌✌
a^12 - b^12
USE FORMULA a^2 - b^2 = ( a+b) ( a-b)
(a^6 + b^6) ( a^6 - b^6)
( a^6 + b^6) ( a^3 + b^3) ( a^3 - b^3)
USE FORMULAS a^3 + b^3 = ( a+b) ( a^2 -ab + b^2)
AND a^3 - b^3 = ( a-b) ( a^2 + ab + b^2)
(a^2 + b^2) ( a^4 -a^2b^2 + b^4) ( a+ b) (a^2 -ab+b^2) ( a-b) (a^2 +ab + b^2)
hope it helps
@ himanshu jha ✌✌
siddhartharao77:
But the question is a^12 + b^12
Answered by
2
Answer:
a^12 - b^12
= (a^6)^2 - (b^6)^2
= (a^6 + b^6)(a^6 - b^6)
= (a^2 + b^2)(a^4 - a^2b^2 + b^4)(a - b)(a + b)(a^2 - ab + b^2)(a^2 + ab + b^2)
= (a - b)(a + b)(a^2 + b^2) (a^2 - ab + b^2)(a^2 + ab + b^2)(a^4 - a^2b^2 + b^4)
Step-by-step explanation:
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