Q-2 Verify- (-25) x [(-7) + (-15)] = [(-25) * (-7)] + [(-25) X (-15)]
Answers
Answer:
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Step-by-step explanation:
GIVEN :
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.
Step-by-step explanation:
LHS :
175-15=160
RHS :
175+375=550
therefore,LHS is not equal to RHS