Question

a⁹+b⁹+3a⁶b3+3a³b⁶ factorize​

Answer 1

Step-by-step explanation:

the whole term can be factorize into

(a³ + b³)³

please mark it as brainlist

Answer 2

Answer:

The factorised expression for the given expression is $(a^3+b^3)^3$

Therefore $a^9+b^9+3a^6b^3+3a^3b^6=(a^3+b^3)^3$

Step-by-step explanation:

Given polynomial expression is $a^9+b^9+3a^6b^3+3a^3b^6$

To factorise the given polynomial expression :

$a^9+b^9+3a^6b^3+3a^3b^6$

$=(a^3)^3+(b^3)^3+3(a^3)^2b^3+3a^3(b^3)^2$ ( by using the formula $a^{mn}=(a^m)^n$ )

$=(a^3+b^3)^3$ ( using the identity $(a+b)^3=a^3+b^3+3a^2b+3ab^2$ here $a=a^3$ and $b=b^3$ )

$a^9+b^9+3a^6b^3+3a^3b^6=(a^3+b^3)^3$

The factorised expression for the given expression is $(a^3+b^3)^3$

Therefore $a^9+b^9+3a^6b^3+3a^3b^6=(a^3+b^3)^3$