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Mathematics 47 Online
OpenStudy (anonymous):

Which sum is equal to

OpenStudy (anonymous):

OpenStudy (anonymous):

factorise the numeretor

Parth (parthkohli):

Factor the numerator and denominator. Cancel to conclude your answer.

Parth (parthkohli):

\( \color{Black}{\Rightarrow x^2 - 25 = \cdots }\) This follows the difference of squares formula.

OpenStudy (anonymous):

\[a^2 - b^2 = (a+b)(a-b)\] Here a = x and b = 5

Parth (parthkohli):

\( \color{Black}{\Rightarrow (x)^2 - (5)^2 = ?}\)

OpenStudy (anonymous):

(x-5)(x+5)

OpenStudy (anonymous):

Yes..

OpenStudy (anonymous):

okay so now I do that to the top

OpenStudy (anonymous):

Now factorize the numerator..

OpenStudy (anonymous):

(x+5)(x-1)

OpenStudy (anonymous):

or the other way

OpenStudy (anonymous):

Yes you are absolutely right..

OpenStudy (anonymous):

Now see what you cancel in top and bottom??

OpenStudy (anonymous):

so the answer would be

OpenStudy (anonymous):

No...

OpenStudy (anonymous):

See now show me after factorization what you get.. Write both numerator and denominator..

OpenStudy (anonymous):

x-5/x-5 + x+1/x+5

OpenStudy (anonymous):

\[\frac{(x+5)(x-1)}{(x+5)(x-5)}\]

Parth (parthkohli):

Something now cancels.

OpenStudy (anonymous):

How does + comes in between?? You have factored the things so multiply will come between them..

OpenStudy (anonymous):

I forgot to do the step in between

OpenStudy (anonymous):

Now tell me what is getting cancelled there in the numerator and denominator??

OpenStudy (anonymous):

(x+5)

OpenStudy (anonymous):

Yes then cancel it and what are you left with??

OpenStudy (anonymous):

(x-1)/(x-5)

OpenStudy (anonymous):

And this is your answer..

OpenStudy (anonymous):

Or you can write it as: \[\frac{x}{x-5} - \frac{1}{x-5}\]

OpenStudy (anonymous):

okay thank you

OpenStudy (anonymous):

Welcome dear..

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