Question Number 157417 by MathSh last updated on 23/Oct/21
$$\mathrm{if}\:\:\mathrm{a};\mathrm{b}>\mathrm{0}\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$ $$\frac{\left(\mathrm{a}\:+\:\mathrm{b}\right)^{\mathrm{6}} \:\left(\mathrm{a}^{\mathrm{15}} \:+\:\mathrm{b}^{\mathrm{15}} \right)\:\left(\mathrm{a}^{\mathrm{21}} \:+\:\mathrm{b}^{\mathrm{21}} \right)}{\left(\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \right)^{\mathrm{2}} \:\left(\mathrm{a}^{\mathrm{5}} \:+\:\mathrm{b}^{\mathrm{5}} \right)^{\mathrm{3}} \:\left(\mathrm{a}^{\mathrm{7}} \:+\:\mathrm{b}^{\mathrm{7}} \right)^{\mathrm{3}} }\:\geqslant\:\mathrm{1} \\ $$ $$ \\ $$
Answered by upendramajhi last updated on 23/Oct/21
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Commented byRasheed.Sindhi last updated on 23/Oct/21
$${Or}\:{he}\:{had}\:{booked}\:{space}\:{for}\:{his}\:{answer}! \\ $$
Commented bymr W last updated on 23/Oct/21
$${please}\:{check}\:{your}\:{pen},\:{it}\:{has}\:{no}\:{ink} \\ $$ $${more}.\:{or}\:{if}\:{you}\:{are}\:{using}\:{an}\:{invisible} \\ $$ $${ink},\:{please}\:{tell}\:{us}\:{how}\:{to}\:{make}\:{it} \\ $$ $${visible}\:{again}. \\ $$
Commented byRasheed.Sindhi last updated on 23/Oct/21
$$\mathcal{H}{e}\:{has}\:{written}\:{with}\:\boldsymbol{{white}}\:{chalk} \\ $$ $${on}\:\boldsymbol{{white}}\:{board}! \\ $$