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Category: Algebra

Q-1-Coefficient-of-a-8-b-4-c-9-d-9-in-expansion-of-abc-abd-acd-bcd-10-Q-2-Coefficient-of-1-x-in-expansion-of-1-x-n-1-1-x-n-Q-3-If-x-m-occurs-in-expansion-of-x-1-x-2-2n

Question Number 48705 by rahul 19 last updated on 27/Nov/18 $${Q}.\mathrm{1}\rightarrow \\ $$$${Coefficient}\:{of}\:{a}^{\mathrm{8}} {b}^{\mathrm{4}} {c}^{\mathrm{9}} {d}^{\mathrm{9}} \:{in}\:{expansion} \\ $$$${of}\:\left({abc}+{abd}+{acd}+{bcd}\right)^{\mathrm{10}} \:=? \\ $$$$ \\ $$$${Q}.\mathrm{2}\rightarrow \\…

p-x-1-x-1-2x-1-3x-1-14x-1-15x-the-absolute-value-of-the-coefficient-of-the-x-2-in-the-expression-

Question Number 179777 by luciferit last updated on 02/Nov/22 $${p}\left({x}\right)=\left(\mathrm{1}−{x}\right)\left(\mathrm{1}+\mathrm{2}{x}\right)\left(\mathrm{1}−\mathrm{3}{x}\right)….\left(\mathrm{1}+\mathrm{14}{x}\right)\left(\mathrm{1}−\mathrm{15}{x}\right) \\ $$$$ \\ $$$${the}\:{absolute}\:{value}\:{of}\:{the}\:{coefficient}\:{of}\:{the}\:{x}^{\mathrm{2}} \:{in}\:{the}\:{expression}? \\ $$ Answered by mr W last updated on 02/Nov/22…

What-s-the-sum-of-the-odd-numbers-between-2313-and-4718-

Question Number 179773 by Acem last updated on 02/Nov/22 $${What}'{s}\:{the}\:{sum}\:{of}\:{the}\:{odd}\:{numbers} \\ $$$$\:{between}\:\mathrm{2313}\:{and}\:\mathrm{4718} \\ $$ Commented by CElcedricjunior last updated on 05/Nov/22 $$\boldsymbol{{calculons}}\:\boldsymbol{{la}}\:\boldsymbol{{somme}}\:\boldsymbol{{des}}\:\boldsymbol{{nombres}} \\ $$$$\boldsymbol{{comprises}}\:\boldsymbol{{entre}}\:\mathrm{2313}\:\boldsymbol{{et}}\:\mathrm{4718} \\…

122-a-2-123-a-2-

Question Number 179775 by Acem last updated on 02/Nov/22 $$\:\left(\mathrm{122}−{a}\right)^{\mathrm{2}} =\:\left(\mathrm{123}−{a}\right)^{\mathrm{2}} \\ $$ Answered by Rasheed.Sindhi last updated on 02/Nov/22 $$\:\left(\mathrm{122}−{a}\right)^{\mathrm{2}} =\:\left(\mathrm{123}−{a}\right)^{\mathrm{2}} \\ $$$$\:\left(\mathrm{122}−{a}\right)^{\mathrm{2}} −\:\left(\mathrm{122}−{a}+\mathrm{1}\right)^{\mathrm{2}}…