Factorise $\left(a^{6}-b^{6}\right)$.
in Mathematics Reshown by
35 views
2 Votes
2 Votes
Factorise $\left(a^{6}-b^{6}\right)$.
in Mathematics Reshown by
by
7.2k Points

1 Answer

2 Votes
2 Votes
 
Best Answer

Solution—

We have

$$

\begin{aligned}

&\left(a^{6}-b^{6}\right) \\

=&\left(a^{3}\right)^{2}-\left(b^{3}\right)^{2} \\

=&\left(a^{3}-b^{3}\right)\left(a^{3}+b^{3}\right) \\

=&(a-b)\left(a^{2}+a b+b^{2}\right)(a+b)\left(a^{2}-a b+b^{2}\right) \\

=&(a-b)(a+b)\left(a^{2}+a b+b^{2}\right)\left(a^{2}-a b+b^{2}\right) . \\

\therefore \quad &\left(a^{6}-b^{6}\right)=(a-b)(a+b)\left(a^{2}+a b+b^{2}\right)\left(a^{2}-a b+b^{2}\right) .

\end{aligned}

$$

by
7.2k Points

Related Questions

1 Vote
1 Vote
1 Answer 34 Views
2 Votes
2 Votes
0 Answers 25 Views
2 Votes
2 Votes
1 Answer 33 Views
1 Vote
1 Vote
1 Answer 32 Views
Gitesh kumar Garg Asked in Mathematics Feb 10, 2022
32 views
Gitesh kumar Garg Asked in Mathematics Feb 10, 2022
by Gitesh kumar Garg
7.2k Points
0 Votes
0 Votes
1 Answer 6 Views
2 Votes
2 Votes
1 Answer 35 Views

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media