Question

Verify 10/13(17/25-13/5)=10/13×17/25-10/13×13/5

Answer 1

10/13(17/25-13/5)=10/13×17/25-10/13×13/5
LHS = 10/13×(-48/25)=-96/65
RHS=34/65-2=-96/65
Therefore, LHS=RHS .
Hence,10/13(17/25-13/5)=10/13×17/25-10/13×13/5. VERIFIED

Answer 2

Answer:

We should verify the given question 10/13(17/25-13/5)=10/13×17/25-10/13×13/5 using L.H.S = R.H.S method. Final Answer: Verified.

Step-by-step explanation:

First take L.H.S of the given question.

That is,   L.H.S   $=\frac{10}{13}(\frac{17}{25}-\frac{13}{5} )$

Take L.C.M for the values which is in inside the bracket. That is L.C.M of 25 and 5.

L.C.M of 25 and 5 is 25.

So that, L.H.S   $=\frac{10}{13}[(\frac{17}{25}*\frac{1}{1}) -(\frac{13}{5} * \frac{5}{5} )] )$      

                          $=\frac{10}{13}(\frac{17}{25} -\frac{65}{25} )$

                          $=\frac{10}{13}(\frac{-48}{25} )$    

Now cancel 10 and 25. Then we get the value of L.H.S

                          $=\frac{2}{13}(\frac{-48}{5} )$

                L.H.S $=\frac{-96}{65}$    ----------------(1)

Similarly we should do for R.H.S for the verification.

               R.H.S $=(\frac{10}{13} *\frac{17}{25})-(\frac{10}{13}*\frac{13}{5} )$

Now cancel 10 and 25 in the first value. That is,

                        $=(\frac{2}{13} *\frac{17}{5})-(\frac{10}{13}*\frac{13}{5} )$

                        $=(\frac{34}{65})-(\frac{130}{65})$

Here denominator is same. So subtract 34 from (-130).

              R.H.S $=\frac{-96}{65}$     ------------------(2)

From equation(1) and equation(2) are same.

both      L.H.S  = R.H.S

Hence verified.