Math, asked by Anonymous, 10 months ago

pls solve with steps.pls pls pls maths algebra 9th​

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Answered by benthamhooker123
1

Answer:

a3+b3+c3-3abc = (a+b+c)(a2+b2+c2-ab-bc-ca)

Step-by-step explanation:

  • (a+b+c)^2= a^2+b^2+c^2+2(ab+BC+ca)
  • 256=90+2(ab+bc+ca)
  • Therefore ab+bc+CA=83
  • substituting in answer we get
  • required result=16×(90-83)=112

Hope it helps you

Answered by gobikadharani444
0

Answer:

given,a+b+c=16

a^2+b^2+c^2=90

(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)\\

256=90+2(ab+bc+ca)

166=2(ab+bc+ca)

166/2=(ab+bc+ca)

(ab+bc+ca)=83

a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-(ab+bc+ca))\\

                               =(16)(90-83)

                               =16(7)

                               =112

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