emilorn02 emilorn02
  • 01-01-2019
  • Mathematics
contestada

ubtract the sum of a2−2ab+b2 and 2a2+2ab+b2 from the sum of a2−b2 and a2+ab+3b2

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gmany
gmany gmany
  • 01-01-2019

[tex]\text{First sum:}\\\\(a^2-2ab+b^2)+(2a^2+2ab+b^2)=(a^2+2a^2)+(-2ab+2ab)+(b^2+b^2)=3a^2+2b^2\\\\\text{Second sum:}\\\\(a^2-b^2)+(a^2+ab+3b^2)=(a^2+a^2)+(ab)+(-b^2+3b^2)=2a^2+ab+2b^2\\\\\text{Difference:}\\\\(2a^2+ab+2b^2)-(3a^2+2b^2)=2a^2+ab+2b^2-3a^2-2b^2\\\\=(2a^2-3a^2)+(ab)+(2b^2-2b^2)=\boxed{-a^2+ab}[/tex]

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