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what is the factor of a2-121b2

Sagot :

Factor [tex]a^{2} - 121 b^{2} [/tex]

In this term, we're going to factor it by using DOTS or the difference of two squares. 

We must always remember that DOTS consist of the following:

The first and second terms should be a perfect square;
The sign of the second term should always be negative (-).

[tex] a^{2} - b^{2} = (a - b)(a + b)[/tex]

So back to the given...

[tex] a^{2} - 121b^{2} [/tex]

The first and the second term are perfect squares so the next step is to find their square roots; so, 

The answer is: [tex](a - 11b) (a + 11b)[/tex]