Question Number 138513 by mathlove last updated on 14/Apr/21 Answered by MJS_new last updated on 14/Apr/21 $${AB}+\mathrm{9}=\mathrm{3}\left({BA}\right) \\ $$$$\mathrm{10}{A}+{B}+\mathrm{9}=\mathrm{30}{B}+\mathrm{3}{A} \\ $$$${A}=\frac{\mathrm{29}{B}−\mathrm{9}}{\mathrm{7}}\:\Rightarrow\:{B}=\mathrm{2}\wedge{A}=\mathrm{7} \\ $$$$\mathrm{72}+\mathrm{9}=\mathrm{3}×\mathrm{27} \\ $$$${A}+{B}=\mathrm{9}…
Question Number 7442 by lakshaysethi last updated on 29/Aug/16 $${is}\:\mathrm{0}×\mathrm{0}\:{not}\:{defined}\:{or}\:{equal}\:{to}\:\mathrm{0}? \\ $$$${if}\:{it}\:{is}\:{not}\:{defined}\:{then}\:{why}? \\ $$ Commented by Rasheed Soomro last updated on 29/Aug/16 $$\mathrm{0}×\mathrm{0}\:{is}\:{defined}\:{and}\:{it}\:{is}\:{equal}\:{to}\:\mathrm{0}. \\ $$…
Question Number 138511 by mathlove last updated on 14/Apr/21 Commented by MJS_new last updated on 14/Apr/21 $$\mathrm{005}\:\:\:\:\:\mathrm{014}\:\:\:\:\:\mathrm{023}\:\:\:\:\:\mathrm{113}\:\:\:\:\:\mathrm{122}\:\:\:\:\:… \\ $$$$\mathrm{050}\:\:\:\:\:\mathrm{140}\:\:\:\:\:\mathrm{230}\:\:\:\:\:\mathrm{131}\:\:\:\:\:\mathrm{221} \\ $$$$\mathrm{500}\:\:\:\:\:\mathrm{401}\:\:\:\:\:\mathrm{302}\:\:\:\:\:\mathrm{311}\:\:\:\:\:\mathrm{212} \\ $$$$==\:\:\:\:\:==\:\:\:\:\:==\:\:\:\:\:==\:\:\:\:\:== \\ $$$$\mathrm{555}\:\:\:\:\:\mathrm{555}\:\:\:\:\:\mathrm{555}\:\:\:\:\:\mathrm{555}\:\:\:\:\:\mathrm{555}…
Question Number 72965 by Raxreedoroid last updated on 05/Nov/19 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{this}\:\mathrm{equation}\:\mathrm{is}\:\mathrm{true}: \\ $$$$\underset{{x}=\mathrm{1}} {\overset{{n}−\mathrm{1}} {\prod}}\left(\mathrm{2}{x}+\mathrm{1}\right)=\frac{\left(\mathrm{2}{x}−\mathrm{1}\right)!}{\left(\mathrm{2}\right)^{{x}−\mathrm{1}} \left({x}−\mathrm{1}\right)!} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 7399 by Tawakalitu. last updated on 27/Aug/16 $${In}\:{an}\:{AP}\:,\:{if}\:{the}\:{m}^{{th}} \:{term}\:{is}\:{n}\:{and}\:{the}\:{n}^{{th}} \:{term} \\ $$$${is}\:{m}.\:{where}\:{m}\:{is}\:{not}\:{equal}\:{to}\:{n}.\:{find} \\ $$$$\left(\mathrm{1}\right)\:{The}\:{value}\:{of}\:\left({m}\:+\:{n}\right)^{{th}} \:{term} \\ $$$$\left(\mathrm{2}\right)\:{The}\:{p}^{{th}} \:{term}. \\ $$ Answered by Yozzia…
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Question Number 7263 by Tawakalitu. last updated on 19/Aug/16 Commented by Rasheed Soomro last updated on 20/Aug/16 $${I}\:{have}\:{answered}\:{your}\:{question}#\mathrm{6852} \\ $$$${which}\:{is}\:{very}\:{resembling}\:{to}\:{this}\:{question}. \\ $$$${Please}\:{see}\:{if}\:{you}\:{have}\:{not}\:{seen}\:{yet}. \\ $$ Commented…
Question Number 138320 by aliibrahim1 last updated on 12/Apr/21 Answered by Rasheed.Sindhi last updated on 17/Apr/21 $$\mathrm{11}^{{n}} =\left(\mathrm{1}+\mathrm{10}\right)^{{n}} =\begin{pmatrix}{{n}}\\{\mathrm{0}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{0}} +\begin{pmatrix}{{n}}\\{\mathrm{1}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{1}} \\ $$$$\:\:\:\:\:\:\:+\begin{pmatrix}{{n}}\\{\mathrm{2}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{2}} +\underset{{divisible}\:{by}\:\mathrm{1000}} {\underbrace{\begin{pmatrix}{{n}}\\{\mathrm{3}}\end{pmatrix}\left(\mathrm{10}\right)^{\mathrm{3}} ….+\begin{pmatrix}{{n}}\\{{n}}\end{pmatrix}\left(\mathrm{10}\right)^{{n}}…
Question Number 7246 by Tawakalitu. last updated on 18/Aug/16 Answered by Yozzia last updated on 19/Aug/16 $${Define}\:{the}\:{number}\:{k}\:{such}\:{that}\: \\ $$$${k}={x}^{{n}+\mathrm{3}} +{y}^{{n}+\mathrm{3}} +{z}^{{n}+\mathrm{3}} −{xyz}\left({x}^{{n}} +{y}^{{n}} +{z}^{{n}} \right)…