Question

Which sum is equal to

Answer 1

factorise the numeretor

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

(x-5)(x+5)

Answer 7

Yes..

Answer 8

okay so now I do that to the top

Answer 9

Now factorize the numerator..

Answer 10

(x+5)(x-1)

Answer 11

or the other way

Answer 12

Yes you are absolutely right..

Answer 13

Now see what you cancel in top and bottom??

Answer 14

so the answer would be

Answer 15

No...

Answer 16

See now show me after factorization what you get..

Write both numerator and denominator..

Answer 17

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

Answer 18

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

Answer 19

Something now cancels.

Answer 20

How does + comes in between??

You have factored the things so multiply will come between them..

Answer 21

I forgot to do the step in between

Answer 22

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

Answer 23

(x+5)

Answer 24

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

Answer 25

(x-1)/(x-5)

Answer 26

And this is your answer..

Answer 27

Or you can write it as:

\[\frac{x}{x-5} - \frac{1}{x-5}\]

Answer 28

okay thank you

Answer 29

Welcome dear..