Verify the following

i) (-25) x [ (-7) + (-15)] = [ (-25) x (-7)] + [ (-25) x (-15)]​

1 thought on “Verify the following<br /><br />i) (-25) x [ (-7) + (-15)] = [ (-25) x (-7)] + [ (-25) x (-15)]​”

1. Answer:

   The following equations are i) (-25) x [(-7) + (-15)] = [(-25) x (-7)] + [(-25) x (-15)]

   ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]

   TO VERFIY :

   The following equations i) (-25) x [(-7) + (-15)] = [(-25) x (-7)] + [(-25) x (-15)]

   ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]

   SOLUTION :

   Given equations are i) (-25) x [(-7) + (-15)] = [(-25) x (-7)] + [(-25) x (-15)]

   ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]

   Now verify the given equations.

   i) (-25) x [(-7) + (-15)]=[(-25) x (-7)] + [(-25) x (-15)]

   LHS (-25) x [(-7) + (-15)]

   =(-25)\times [-22]=(−25)×[−22]

   (-25) x [ (-7) + (-15)] =550(−25)x[(−7)+(−15)]=550 =LHS

   RHS [(-25) x (-7)] + [(-25) x (-15)]

   =175+375

   [(-25) x (-7)] + [(-25) x (-15)]=550=RHS

   ∴ LHS=RHS

   ∴ (-25) x [(-7) + (-15)]= [(-25) x (-7)] + [(-25) x (-15)] is verified.

   ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]

   Taking LHS (-7) x [(-8) + 9]

   =(-7)\times (1)=(−7)×(1)

   (-7) x [(-8) + 9]=-7=LHS

   Now RHS [-7 x (-8)] + [(-7) x 9]

   =(56)+(-63)

   =-7

   [-7 x (-8)] + [(-7) x 9]=-7=RHS

   ∴ LHS=RHS

   ∴ (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]

   Hence verified.

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