Category: Algebra

Question Number 73027 by mathmax by abdo last updated on 05/Nov/19 $$xandyarereals\left(orcomplex\right)letput{x}^{\left(0\right)}=1,x^{\left(1\right)}=x$$$$x^{\left(2\right)}=x(x-1)\dots ..x^{\left(n\right)}=x(x-1)(x-2)\dots (x-n+1)provethat$$$$\left({x}+{y}\right)^{\left({n}\right)} =\sum_{{k}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{k}} \:\:{x}^{\left({n}−{k}\right)}…

Question Number 7478 by Yozzia last updated on 31/Aug/16 $$Findthevalueof{x}^3(x^3-18)ifx(x-3)=-1.$$ Answered by Rasheed Soomro last updated on 31/Aug/16 $$\:\:\:{x}^{\mathrm{3}} \left({x}^{\mathrm{3}} −\mathrm{18}\right)\:\:{if}\:\:{x}\left({x}−\mathrm{3}\right)=−\mathrm{1}…

Question Number 138546 by mnjuly1970 last updated on 14/Apr/21 Answered by ajfour last updated on 14/Apr/21 $$\left(i\right)a^3=p,b^3=q,c^3=r$$$$a+b+c=\mathit{v}=\sqrt[3]{p}+\sqrt[3]{q}+\sqrt[3]{r}$$$$\left({a}+{b}+{c}\right)^{\mathrm{3}} ={v}^{\mathrm{3}}…

Question Number 138512 by Yegon last updated on 14/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 7407 by Tawakalitu. last updated on 27/Aug/16 Commented by sou1618 last updated on 27/Aug/16 $$anothersolution$$$${999}^2<{1024}^2=2^{10\times 2}=2^{20}$$$${so}\:\mathrm{999}^{\mathrm{2}} <\mathrm{2}^{\mathrm{20}}…