Question

I am weak in mathmatics
please any body tell me what is happeing here
http://postimg.org/image/r8hkqvcol/

Answer 1

\[\large \rm y^2 \]

is same as :

\[\large \rm y^2 +1-1\]

Answer 2

would you agree ?

Answer 3

i am confuse in y^2/Y^+1

Answer 4

\[\large \rm \dfrac{y^2}{y^2+1} \]

is same as :

\[\large \rm \dfrac{y^2+1-1}{y^2+1} \]

Answer 5

and also how y^2-(Y^2+1)/y^2+1 come

Answer 6

y2+1−1y2+1 yes its sam but please tell how what you do in this step

Answer 7

confuse in this step
http://postimg.org/image/4mi041x81/

Answer 8

that step is confusing to me too, see if below steps make sense :

Answer 9

\[\large \begin{align}\rm \dfrac{y^2}{y^2+1} &= \dfrac{y^2+1-1}{y^2+1}\\~\\~\\& = \large \rm \dfrac{(y^2+1)-(1)}{y^2+1} \\~\\&= \dfrac{y^2+1}{y^2+1} - \dfrac{1}{y^2+1}\\~\\~\\&=1 - \dfrac{1}{y^2+1}\end{align}\]

Answer 10

thanks but please tell me what you do in this step http://postimg.org/image/o8nk2fwlb/

Answer 11

we have this property for splitting/combining fractions :

\[\large \rm \dfrac{\heartsuit-\spadesuit }{\text{stuff}} = \dfrac{\heartsuit}{\text{stuff}}- \dfrac{\spadesuit}{\text{stuff}} \]

Answer 12

you can split fractions like that, the overall value wont change

Answer 13

thank you :) now i have understood

Answer 14

good :) you could also use long division for reducing the degree of numerator