if (a+b+c)=9,asquare +bsquare+csquare = 35 find acube+bcube +ccube
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a^2+b^2+c^2=35
a+b+c=9
squaring both the sides
(a+b+c)^2=9^2
=>a^2+b^2+c^2+2(ab+bc+ca)=81
=>35+2(ab+bc+ca)=81
=>2(ab+bc+ca)=81-35
=>ab+bc+ca=46/2
=>ab+bc+ca=23
a^3+b^3+c^3=(a+b+c)
(a^2+b^2+c^2-ab-bc-ca)
=9×[35-(ab+bc+ca)]
=9×(35-23)
=9×12
=108
hope it helps you!
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