Question

factorize a^12 + b^12​

Answer 1

Step-by-step explanation:

a^12 + b^12

it can be written as

(a^4)³+ (b^4)³

from the formula.....

[ a³ + b³ = (a + b) ( a² - ab + b²) ]

(a^4 + b^4) [ (a^4)² - a^4b^4 + (b^4)² ]

(a^4 + b^4) ( a^8 + b^8 -a^4b^4 )

Answer 2

explanation:

we have to factorize a¹²+b¹².

we can rewrite a¹²+b¹² as (a⁴)³+(b⁴)³.

now, we know that x³+y³= (x+y)(x²-xy+y²)

here, putting x=a⁴ and y=b⁴, we get,

(a⁴)³+(b⁴)³ =(a⁴+b⁴)[(a⁴)²-a⁴b⁴+(b⁴)²]

                =(a⁴+b⁴)(a⁸-a⁴b⁴+b⁸) which is the final answer.

HOPE IT HELPS YOU...