The-identity-2-16a-4-81b-4-c-4-4a-2-9b-2-c-2-2-cannot-result-from-which-of-the-following-equations-A-6b-4a-2c-B-6a-9b-3c-C-6b-4a-2c-D-c-2a-3b-E-6c-2b-3a-

Question Number 110399 by Aina Samuel Temidayo last updated on 29/Aug/20

$$\mathrm{The}\:\mathrm{identity} \\ $$$$\mathrm{2}\left[\mathrm{16a}^{\mathrm{4}} +\mathrm{81b}^{\mathrm{4}} +\mathrm{c}^{\mathrm{4}} \right]=\left[\mathrm{4a}^{\mathrm{2}} +\mathrm{9b}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} \right]^{\mathrm{2}} \\ $$$$\mathrm{cannot}\:\mathrm{result}\:\mathrm{from}\:\mathrm{which}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{following}\:\mathrm{equations}?\: \\ $$$$\mathrm{A}.\:\mathrm{6b}=\mathrm{4a}+\mathrm{2c}\:\mathrm{B}.\:\mathrm{6a}=\mathrm{9b}+\mathrm{3c}\:\mathrm{C}. \\ $$$$\mathrm{6b}=−\mathrm{4a}+\mathrm{2c}\:\mathrm{D}.\mathrm{c}=\:−\mathrm{2a}−\mathrm{3b}\:\mathrm{E}. \\ $$$$\mathrm{6c}=\mathrm{2b}+\mathrm{3a} \\ $$

Commented by Rasheed.Sindhi last updated on 28/Aug/20

$$\mathrm{D}.\:−\mathrm{2a}−\mathrm{3b} \\ $$

Commented by Aina Samuel Temidayo last updated on 28/Aug/20

$$\mathrm{Your}\:\mathrm{solution}\:\mathrm{please}?\:\mathrm{I}\:\mathrm{think}\:\mathrm{it}'\mathrm{s}\:\mathrm{E}. \\ $$

Commented by 1549442205PVT last updated on 29/Aug/20

$$\mathrm{Your}\:\mathrm{question}\:\mathrm{wrote}\:\mathrm{correctly} \\ $$$$\boldsymbol{\mathrm{D}}.−\mathrm{2}\boldsymbol{\mathrm{a}}−\mathrm{3}\boldsymbol{\mathrm{b}}\:\boldsymbol{\mathrm{isn}}'\boldsymbol{\mathrm{t}}\:\boldsymbol{\mathrm{a}}\mathrm{n}\:\boldsymbol{\mathrm{equation}}.\mathrm{If}\:\mathrm{this}\: \\ $$$$\mathrm{is}\:\boldsymbol{\mathrm{c}}=−\mathrm{2}\boldsymbol{\mathrm{a}}−\mathrm{3}\boldsymbol{\mathrm{b}}\:\mathrm{then}\:\mathrm{answer}\:\mathrm{will}\:\mathrm{be} \\ $$$$\mathrm{E}. \\ $$

Commented by Aina Samuel Temidayo last updated on 29/Aug/20

$$\mathrm{Oh}.\:\mathrm{Sorry},\:\mathrm{that}\:\mathrm{was}\:\mathrm{a}\:\mathrm{mistake}\:\mathrm{from} \\ $$$$\mathrm{me}.\:\mathrm{It}\:\mathrm{has}\:\mathrm{been}\:\mathrm{corrected}.\:\mathrm{So},\:\mathrm{how}\:\mathrm{did}\:\mathrm{you}\:\mathrm{get}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{to} \\ $$$$\mathrm{be}\:\mathrm{E}? \\ $$

Commented by Aina Samuel Temidayo last updated on 29/Aug/20

$$\mathrm{The}\:\mathrm{question}\:\mathrm{has}\:\mathrm{been}\:\mathrm{corrected}.\:\mathrm{You} \\ $$$$\mathrm{can}\:\mathrm{check}\:\mathrm{again}.\:\mathrm{Thanks}. \\ $$

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