Answered

IDNLearn.com makes it easy to find answers and share knowledge with others. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

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

Sagot :

Kavikafaleumuidn
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!
MichaelLiuidn
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!
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.