Category: Arithmetic

Question Number 96811 by Ar Brandon last updated on 05/Jun/20 $$\mathrm{Prove}\:\mathrm{that}; \\ $$$$\mathrm{a}\backslash\:\mathrm{A}+\mathrm{A}\centerdot\mathrm{B}=\mathrm{A}\:\:\:\:\:\:\:\:\:\:\:\mathrm{c}\backslash\:\left(\mathrm{A}+\mathrm{B}^{} \right)\centerdot\left(\mathrm{A}+\overset{−} {\mathrm{B}}\right)=\mathrm{A} \\ $$$$\mathrm{b}\backslash\:\mathrm{A}\centerdot\left(\mathrm{A}+\mathrm{B}\right)=\mathrm{A}\:\:\:\:\:\:\:\mathrm{d}\backslash\:\mathrm{A}+\overset{−} {\mathrm{A}B}=\mathrm{A}+\mathrm{B} \\ $$ Answered by 1549442205 last updated…

Question Number 31045 by abdo imad last updated on 02/Mar/18 $${simlify}\:{A}_{{n}} =\left({C}_{{n}} ^{\mathrm{1}} \right)^{\mathrm{2}} \:+\mathrm{2}\left({C}_{{n}} ^{\mathrm{2}} \right)^{\mathrm{2}} \:\:+{n}\:\left({C}_{{n}} ^{{n}} \right)^{\mathrm{2}} . \\ $$ Terms of…

Question Number 31043 by abdo imad last updated on 02/Mar/18 $${find}\:{n}\:{in}\:{ordre}\:{to}\:{have}\:\mathrm{7}\:{divide}\:{n}^{\mathrm{3}} \:+{n}−\mathrm{2} \\ $$ Commented by MJS last updated on 03/Mar/18 $$\mathrm{the}\:\mathrm{sequence}\:\mathrm{of}\:\mathrm{remains}\:\mathrm{of} \\ $$$${n}^{\mathrm{3}} /\mathrm{7}\:\mathrm{is}\:\langle\mathrm{1},\mathrm{1},\mathrm{6},\mathrm{1},\mathrm{6},\mathrm{6},\mathrm{0},…\rangle…

Question Number 161947 by mathlove last updated on 24/Dec/21 $${abc}=\mathrm{8} \\ $$$${a}+{b}+{c}=\mathrm{7} \\ $$$${a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} =\mathrm{73} \\ $$$${then}\:{faind}\:\:{the}\:{vole}\:{of} \\ $$$$\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=? \\ $$ Answered by…

Question Number 96318 by  M±th+et+s last updated on 31/May/20 $${if} \\ $$$$\left(\mathrm{1}+{x}\right)\left(\mathrm{1}+{x}^{\mathrm{2}} \right)…..\left(\mathrm{1}+{x}^{\mathrm{128}} \right)=\underset{{r}=\mathrm{0}} {\overset{{n}} {\sum}}{x}^{{r}} \\ $$$${then}\:{find}\:{n} \\ $$ Commented by mr W last…