Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Factorise 36x(squared) - 25
Please explain your answer, thanks


Sagot :

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!
Factor [tex]36 x^{2} -25[/tex]
This is in the form of [tex]a^{2} - b^{2} [/tex]
There is a special factorization of [tex]a^{2} - b^{2} [/tex] and it is [tex](a+b)(a-b)[/tex].
Our [tex] a^{2} = 36 x^{2} [/tex] so [tex]a=6x[/tex]
Our [tex] b^{2}=25 [/tex] so [tex]b=5[/tex]
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!
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.