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Q-2 Verify- (-25) x [(-7) + (-15)] = [(-25) * (-7)] + [(-25) X (-15)]

Answer» <html><body><p>here is your <a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> Step-by-step explanation:GIVEN :The following equations are i) (-25) x [(-<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>) + (-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)\<a href="https://interviewquestions.tuteehub.com/tag/times-1420471" style="font-weight:bold;" target="_blank" title="Click to know more about TIMES">TIMES</a> [-22]=(−25)×[−22](-25) x [ (-7) + (-15)] =<a href="https://interviewquestions.tuteehub.com/tag/overline-v-ca-right-550-325403" style="font-weight:bold;" target="_blank" title="Click to know more about 550">550</a>(−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)+(-<a href="https://interviewquestions.tuteehub.com/tag/63-330460" style="font-weight:bold;" target="_blank" title="Click to know more about 63">63</a>)=-7[-7 x (-8)] + [(-7) x 9]=-7=RHS∴ LHS=RHS∴ (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]Hence verified.</p></body></html>


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