Question

factorise it please​

Answer 1

Answer:

(a^3+b^3)(a^3-b^3)

^3 means a cube or a to the power 3

Answer 2

The factors are $(a-b)(a^{2}+ab+b^{2})(a^{6}+a^{3}b^{3}+b^{6})$.

Step-by-step explanation:

The expression is:

$a^{9}-b^{9}$

Factorize the expression as follows:

$a^{9}-b^{9}=(a^{3})^{3}-(b^{3})^{3}$

           $=(a^{3}-b^{3})((a^{3})^{2}+a^{3}b^{3}+(b^{3})^{2})\\=(a^{3}-b^{3})(a^{6}+a^{3}b^{3}+b^{6})\\=(a-b)(a^{2}+ab+b^{2})(a^{6}+a^{3}b^{3}+b^{6})$

Thus, the factors are $(a-b)(a^{2}+ab+b^{2})(a^{6}+a^{3}b^{3}+b^{6})$.