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Category: Algebra

Question-155928

Question Number 155928 by cortano last updated on 06/Oct/21 Answered by mr W last updated on 06/Oct/21 $$\left({u}+{v}\right)^{\mathrm{3}} ={u}^{\mathrm{3}} +{v}^{\mathrm{3}} +\mathrm{3}{uv}\left({u}+{v}\right) \\ $$$$\left({u}+{v}\right)^{\mathrm{3}} −\mathrm{3}{uv}\left({u}+{v}\right)−\left({u}^{\mathrm{3}} +{v}^{\mathrm{3}}…

Question-90379

Question Number 90379 by jagoll last updated on 23/Apr/20 Commented by john santu last updated on 23/Apr/20 $${x}\:=\:{p}\:,\:{y}\:=\:{p}+\mathrm{1}\:,\:{z}\:=\:{p}+\mathrm{2} \\ $$$${x}.{z}\:=\:{p}^{\mathrm{2}} +\mathrm{2}{p} \\ $$$$\Rightarrow\:{p}\left({p}+\mathrm{1}\right)\left({p}+\mathrm{2}\right)\:=\:\mathrm{21}\left(\mathrm{3}{p}+\mathrm{3}\right) \\ $$$$\left({p}+\mathrm{1}\right)\:\left\{{p}^{\mathrm{2}}…

Determine-the-triangle-with-dimensions-a-b-c-N-a-b-c-even-and-A-P-N-With-maximum-area-We-denoted-A-area-and-P-perimetr-

Question Number 155912 by MathSh last updated on 05/Oct/21 $$\mathrm{Determine}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{dimensions} \\ $$$$\mathrm{a};\mathrm{b};\mathrm{c}\in\mathbb{N}\:,\:\mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{even}\:\:\mathrm{and}\:\:\mathrm{A}=\mathrm{P}\in\mathbb{N}. \\ $$$$\mathrm{With}\:\mathrm{maximum}\:\mathrm{area}.\:\mathrm{We}\:\mathrm{denoted} \\ $$$$\mathrm{A}=\mathrm{area}\:\:\mathrm{and}\:\:\:\mathrm{P}=\mathrm{perimetr}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Find-the-nth-root-of-1-Find-these-values-when-n-6-

Question Number 155899 by Tawa11 last updated on 05/Oct/21 $$\mathrm{Find}\:\mathrm{the}\:\:\:\mathrm{nth}\:\:\:\mathrm{root}\:\mathrm{of}\:\:\:\mathrm{1}.\:\:\mathrm{Find}\:\mathrm{these}\:\mathrm{values}\:\mathrm{when}\:\:\:\mathrm{n}\:\:=\:\:\mathrm{6}. \\ $$ Answered by Ar Brandon last updated on 05/Oct/21 $$\mathrm{1}={e}^{\mathrm{2}{k}\pi{i}} ,\:{k}\in\mathbb{Z} \\ $$$${z}_{{n}} =\sqrt[{{n}}]{\mathrm{1}}={e}^{\frac{\mathrm{2}{k}\pi}{{n}}{i}}…

Draw-the-graph-of-the-function-f-g-x-if-f-g-R-R-are-given-by-f-x-2x-1-g-x-x-1-Find-the-domain-and-the-range-of-f-g-x-

Question Number 24821 by NECx last updated on 26/Nov/17 $${Draw}\:{the}\:{graph}\:{of}\:{the}\:{function} \\ $$$$\left(\frac{{f}}{{g}}\right)\left({x}\right)\:{if}\:{f},{g}:\mathbb{R}\rightarrow\mathbb{R}\:{are}\:{given}\:{by} \\ $$$${f}\left({x}\right)=\mathrm{2}{x}−\mathrm{1},{g}\left({x}\right)={x}+\mathrm{1}.{Find}\:{the} \\ $$$${domain}\:{and}\:{the}\:{range}\:{of}\:\left(\frac{{f}}{{g}}\right)\left({x}\right) \\ $$$$ \\ $$ Answered by mrW1 last updated…