Question Number 190241 by astridmei last updated on 30/Mar/23 $${show}\:{that}\:{a}\circledast{b}={a}+{ab}+{b}\:{is}\:{a}\:{monoid}\:{when}\:{G}={Z} \\ $$ Answered by mehdee42 last updated on 30/Mar/23 $$\ast:\mathbb{Z}×\mathbb{Z}\rightarrow\mathbb{Z}\:\:;\:{a}\ast{b}={a}+{b}+{ab} \\ $$$$\left(\mathbb{Z},\ast\right)\:{is}\:{monoid}\:{whenever} \\ $$$$\left.\mathrm{1}\right)\forall{a},{b}\in\mathbb{Z}\:\rightarrow{a}\ast{b}\in\mathbb{Z} \\…
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Question Number 59166 by hhghg last updated on 05/May/19 $$\mathrm{67}\left\{\left[\mathrm{4}×\left(\mathrm{3}+\mathrm{5}\right)+\mathrm{6}\right]\right\} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 59164 by hovea cw last updated on 05/May/19 $$\mathrm{5}^{\mathrm{x}} =\mathrm{0} \\ $$$$\mathrm{find}\:\mathrm{x} \\ $$ Answered by MJS last updated on 05/May/19 $$\mathrm{5}^{{x}} =\mathrm{0}\:\mathrm{has}\:\mathrm{no}\:\mathrm{solution}\:\mathrm{for}\:{x}\in\mathbb{R}…
Question Number 59133 by Tawa1 last updated on 05/May/19 $$\mathrm{The}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{the}\:\mathrm{expression}\:\:\:\left(\mathrm{x}\:+\:\mathrm{a}\right)^{\mathrm{100}} \:+\:\left(\mathrm{x}\:−\:\mathrm{a}\right)^{\mathrm{100}} \\ $$$$\mathrm{after}\:\mathrm{simplification}\:\mathrm{is}\:\:? \\ $$ Answered by $@ty@m last updated on 05/May/19 $${In}\:\left({x}−{a}\right)^{{n}} , \\…
Question Number 59102 by Tawa1 last updated on 04/May/19 $$\mathrm{use}\:\mathrm{remainder}\:\mathrm{theorem}\:\mathrm{to}\:\mathrm{factorize}\:\mathrm{completetly}\:\mathrm{the}\:\mathrm{expression} \\ $$$$\:\:\:\:\:\mathrm{x}^{\mathrm{3}} \left(\mathrm{y}\:−\:\mathrm{z}\right)\:+\:\mathrm{y}^{\mathrm{3}} \left(\mathrm{z}\:−\:\mathrm{x}\right)\:+\:\mathrm{z}^{\mathrm{3}} \left(\mathrm{x}\:−\:\mathrm{y}\right) \\ $$ Answered by tanmay last updated on 04/May/19 $${E}=\mathrm{0}\:{when}\:{x}={y}\:{so}\:\left({x}−{y}\right){is}\:{factor}\:\left({E}={given}\:{expression}\right)…
Question Number 59094 by peter frank last updated on 04/May/19 Commented by Kunal12588 last updated on 04/May/19 I just want to ask from where do you get such question. Answered by MJS last updated on 04/May/19…
Question Number 59095 by necx1 last updated on 04/May/19 $${An}\:{building}\:{student}\:{makes}\:{a}\:{floor} \\ $$$${plan}\:{of}\:{a}\:{building}\:{on}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{75}.{At} \\ $$$${what}\:\%\:{change}\:{will}\:{he}\:{need}\:{to}\:{convert} \\ $$$${it}\:{to}\:{a}\:{scale}\:{of}\:\mathrm{1}:\mathrm{250}? \\ $$ Answered by MJS last updated on 04/May/19…