Verified Answer :

kavikafaleumu

36x^(2)-25. Now, we notice that 36 and 25 are squares of 6 and 5 respectively, as well as x^(2) being the square of x.

We know that (x+y)(x-y)=(x^(2)-y^(2)) or x(squared) minus y(squared)

So, we can factor the equation to be (6x+5)(6x-5) which is the same as 36x^(2)-25.

Hope this helps!

MichaelLiu

Factor \(36 x^{2} -25\)
This is in the form of \(a^{2} - b^{2}\)
There is a special factorization of \(a^{2} - b^{2}\) and it is \((a+b)(a-b)\).
Our \(a^{2} = 36 x^{2}\) so \(a=6x\)
Our \(b^{2}=25\) so \(b=5\)
Plugging this into (a+b)(a-b) we get (6x+5)(6x-5).

Hope this helps. If it does, please consider making this the brainliest answer. I am trying to be virtuoso. Thanks!

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