Simplify fractions using exponents: Step 1: Simplify each fraction using the properties of exponents.((xa)/(xb))=xa−b,((xc)/(xa))=xc−a,((xa)/(xb))=xa−b.
Apply exponents to simplified fractions: Step 2: Apply the exponents to each simplified fraction.(x(a−b))(b+c−a)=x((a−b)∗(b+c−a)),(x(c−a))(c+a−b)=x((c−a)∗(c+a−b)),(x(a−b))(a+b−c)=x((a−b)∗(a+b−c)).
Multiply results from Step 2: Step 3: Multiply the results from Step 2. x((a−b)∗(b+c−a)+(c−a)∗(c+a−b)+(a−b)∗(a+b−c)).
Expand and simplify the exponent: Step 4: Expand and simplify the exponent.(a−b)⋅(b+c−a)=ab−a2+bc−ba,(c−a)⋅(c+a−b)=c2−ca+ac−ab,(a−b)⋅(a+b−c)=a2−ab+ab−bc.Summing these gives: ab−a2+bc−ba+c2−ca+ac−ab+a2−ab+ab−bc=a2+c2−a2−ca+ac−ca.
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