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Q-2 Verify- (-25) x [(-7) + (-15)] = [(-25) * (-7)] + [(-25) X (-15)] |
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Answer» here is your ANSWER 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 =LHSRHS [(-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=LHSNow 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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