If a+2b=5 prove that a^3+8b^3+30ab=125
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a+2b+ (-5)=0
hence
a^3+(2b)^3+ (-5)^3= 3*a*(2b)*(-5)
⇒a^3+8b^3-125=-30ab
⇒a^3+8b^3+30ab=125
hence
a^3+(2b)^3+ (-5)^3= 3*a*(2b)*(-5)
⇒a^3+8b^3-125=-30ab
⇒a^3+8b^3+30ab=125
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