The process of decomposing a rational expression into two or more simpler fractions is called partial __________.

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Macsen Nixon · Accepted Answer

Step 1 Given: The process of decomposing a rational expression into two or more simpler fractions is called partial __________. Step 2 The process of decomposing a rational expression into two or more simpler fractions is called partial Fraction. Step 3 Now the given statement can be shown by below examples: 5x−4x2−x−2=5x−4(x−2)(x+1) Now, 5x−4(x−2)(x+1)=A(x−2)+B(x+1)   .........Eq.(1)   Now solving above equation: 5x−4=A(x+1)+B(x−2) 5x−4=Ax+A+Bx−2B 5x−4=(Ax+Bx)+(A−2B) 5x−4=(A+B)x+(A−2B) Now equating the coefficient:   A+B=5   …..(2) A−2B=−4   ….(3) Step 4 Now solving the Eq (2) and Eq(3): Subtracting the Eq(3) from Eq(2) A+B=5 A−2B=−4 3B=9 B=93 B=3 Put  B=3  in Eq(2) A+B=5 A=5−3 A=2 Step 5 Now from Equation (1) 5x−4(x−2)(x+1)=A(x−2)(x+1) 5x−4(x−2)(x+1)=2(x−2)+3(x+1) Hence It can be concluded from the above example that, The process of decomposing a rational expression into two or more simpler fractions is called Partial Fractions.

The process of decomposing a rational expression into two or more simpler fracti

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