Question Number 206475 by hardmath last updated on 15/Apr/24
$$\mathrm{If}\:\:\:\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{12}}\:−\:\mathrm{5b}^{\mathrm{3}} \:=\:−\mathrm{30} \\ $$$$\mathrm{Find}:\:\:\:\frac{\mathrm{2}}{\mathrm{45}}\:\mathrm{a}^{\mathrm{2}} \:−\:\frac{\mathrm{8}}{\mathrm{3}}\:\mathrm{b}^{\mathrm{3}} \:=\:? \\ $$
Answered by A5T last updated on 15/Apr/24
$${a}^{\mathrm{2}} =\mathrm{60}{b}^{\mathrm{3}} −\mathrm{360}\Rightarrow\frac{\mathrm{2}}{\mathrm{45}}\left(\mathrm{60}{b}^{\mathrm{3}} −\mathrm{360}\right)−\frac{\mathrm{8}{b}^{\mathrm{3}} }{\mathrm{3}}=−\mathrm{16} \\ $$