Math, asked by krishnajayanth324, 7 months ago

Resolve into 2x^2+16x +29÷(x+3)^2(x+4) partial fraction?​

Answers

Answered by swanish29
1

Answer:

123456789

Step-by-step explanation:

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PARTIAL FRACTION DECOMPOSITION CALCULATOR

This online calculator will find the partial fraction decomposition of the rational function, with steps shown.

SHOW INSTRUCTIONS

Enter the numerator:

x+7

Enter the denominator:

x^2+3x+2

If the calculator did not compute something or you have identified an error, please write it in comments below.

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CALCULATE

SOLUTION

Your input: perform the partial fraction decomposition of x+7x2+3x+2

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x+7x2+3x+2=6x+1+−5x+2

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Answered by Chethu17
0

Answer:

correct answer

Step-by-step explanation:

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