Solution
Given : $$(x^3 - y^6)(x^3 - y^6)$$
As we know,
$$a^x\times\ a^y=a^{\left(x+y\right)}$$
Lets solve it :
$$=\left(x^3\times\ x^3\right)+\left(x^3\times\ y^6\right)-\left(y^6\times\ x^3\right)-\left(y^6\times\ y^6\right)$$
$$=\left(x^6\right)+\left(x^3\times\ y^6\right)-\left(y^6\times\ x^3\right)-\left(y^{12}\right)$$
$$=\left(x^6\right)-\left(y^{12}\right)$$
Hence, Option D is correct.
Get AI Help
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
