Menu Close

Question-187998




Question Number 187998 by Mingma last updated on 24/Feb/23
Answered by mahdipoor last updated on 24/Feb/23
=(((16−2)(16+2))/(18×13))×(((16−3)(16+3))/(19×12))×...×(((16−8)(16+8))/(24×7))  =((14)/(13))×((13)/(12))×...×(8/7)=((14)/7)=2
$$=\frac{\left(\mathrm{16}−\mathrm{2}\right)\left(\mathrm{16}+\mathrm{2}\right)}{\mathrm{18}×\mathrm{13}}×\frac{\left(\mathrm{16}−\mathrm{3}\right)\left(\mathrm{16}+\mathrm{3}\right)}{\mathrm{19}×\mathrm{12}}×…×\frac{\left(\mathrm{16}−\mathrm{8}\right)\left(\mathrm{16}+\mathrm{8}\right)}{\mathrm{24}×\mathrm{7}} \\ $$$$=\frac{\mathrm{14}}{\mathrm{13}}×\frac{\mathrm{13}}{\mathrm{12}}×…×\frac{\mathrm{8}}{\mathrm{7}}=\frac{\mathrm{14}}{\mathrm{7}}=\mathrm{2} \\ $$
Commented by Mingma last updated on 24/Feb/23
Very true, sir!

Leave a Reply

Your email address will not be published. Required fields are marked *