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(−5v3−9v2+6v)−(−5v3+9v2−6v)=(-5v^3-9v^2+6v) -(-5v^3+9v^2-6v)=

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Q. (−5v3−9v2+6v)−(−5v3+9v2−6v)=(-5v^3-9v^2+6v) -(-5v^3+9v^2-6v)=
  1. Identify Expression: Identify the expression after subtracting the second polynomial from the first.\newlineSubtract (−5v3+9v2−6v)(-5v^3+9v^2-6v) from (−5v3−9v2+6v)(-5v^3-9v^2+6v) by changing the signs of the second polynomial and then combining like terms.\newline(−5v3−9v2+6v)−(−5v3+9v2−6v)(-5v^3-9v^2+6v) - (-5v^3+9v^2-6v)\newline= (−5v3−9v2+6v)+(5v3−9v2+6v)(-5v^3-9v^2+6v) + (5v^3-9v^2+6v)
  2. Subtract Polynomials: Simplify the expression by combining like terms.\newlineCombine the terms with v3v^3, the terms with v2v^2, and the terms with vv.\newline(−5v3+5v3)+(−9v2−9v2)+(6v+6v)(-5v^3 + 5v^3) + (-9v^2 - 9v^2) + (6v + 6v)\newline=0v3−18v2+12v= 0v^3 - 18v^2 + 12v
  3. Simplify Expression: Since 0v30v^3 is zero, it can be removed from the expression.\newlineSimplify the expression by removing the term with zero coefficient.\newline0v3−18v2+12v0v^3 - 18v^2 + 12v\newline=−18v2+12v= -18v^2 + 12v

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