Question

Simplify:          3/ x2 + 5x + 4 +      2/ x2 - 1

Simplify:          3/ x2 + 5x + 4 +      2/ x2 - 1

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

3 / ( x^2 + 5x + 4 ) + 2 / (x^2 -1 )

factoring the bottom of each fraction

x^2 + 5x + 4 = ( x + 4 ) ( x+ 1 )

x^2 -1 = (x - 1) (x+1)

so we can write

3 / ( x^2 + 5x + 4 ) + 2 / (x^2 -1 ) = 3 / (x + 4) (x +1 ) + 2 / (x-1) (x+1)

LCD = ( x +1 ) (x+4) (x-1)

3 ( x -1 ) /  ( x +1 ) (x+4) (x-1) + 2 ( x + 4) /  ( x +1 ) (x+4) (x-1)  

= ( 3x - 3 + 2x + 8 ) /  ( x +1 ) (x+4) (x-1)  

= ( 5x + 5 ) /  ( x +1 ) (x+4) (x-1)

= 5 (x + 1) /  ( x +1 ) (x+4) (x-1)

= 5 / ( x+4) (x-1)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
i) Simplify the following equations 3(2x – 5) – 2(5x - 7) + 9 = (4...
i) Simplify the following equations 3(2x – 5) – 2(5x - 7) + 9 = ii) Solve 3x – 2 divided by 2= 4x - 5 divided by 4 (5marks) c) Solve the following pairs of simultaneous equations 2x + y = 7 and x - 2y = -1
Differentiate f(x) = (√ x +1)(x(2/5)+3x) f(x) =(5x3+1)/(x2+2x+1) f(x) = -5x(3x-3)4 f(x) = (2x + (x2+x)4)(1/3)
Differentiate f(x) = (√ x +1)(x(2/5)+3x) f(x) =(5x3+1)/(x2+2x+1) f(x) = -5x(3x-3)4 f(x) = (2x + (x2+x)4)(1/3)
Consider the linearly independent set of vectors B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4, 1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4) in P4(R), does...
Consider the linearly independent set of vectors B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4, 1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4) in P4(R), does B form a basis for P4(R) and why?
1) What is a function? Give two examples 2) Solve x2−4=0 factorize 3) Graph following line...
1) What is a function? Give two examples 2) Solve x2−4=0 factorize 3) Graph following line y= -3x+1 4) Find the domain of following functions y= x3+x2−5x+10 Y=5X−1 5) Find the following limits limn→∞  n32n3    limn→2    1000n    Please provide all the steps!
The fourth degree polynomial x^4-5x^3+5x^2+5x-6 has four different zeros. If two of the zeros are 1...
The fourth degree polynomial x^4-5x^3+5x^2+5x-6 has four different zeros. If two of the zeros are 1 and 2, what are the other two zeros?
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate...
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative....
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3)...
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3) If csc x = 2 and x is in Q I, determine the exact values of sin x and cos x. 4) Use a sum to product formula to rewrite sin 2x – sin 5x as the product of two trig functions. Step by Step please 5) Use a product to sum formula to rewrite sin(2x) * sin(5x) as a sum of two trig...
Find the derivative and don't simplify. a) [ x^3 (1+x^2)^4 ] / (x^3 + 1)^2 b)...
Find the derivative and don't simplify. a) [ x^3 (1+x^2)^4 ] / (x^3 + 1)^2 b) (1-x^4) / [(x^4)(1+x^2)^3] Grade 12 Calculus, Chapter - derivatives (chain rule, product rule, power rule, quotient rule).
Find the derivative of each function. Do Not Simplify! a) ? = √? (7 − 3?)...
Find the derivative of each function. Do Not Simplify! a) ? = √? (7 − 3?) b) ?(?) = √(11? − 2?3) c) ? = 4?3?-5x d) ? = x3/ lnx2
1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14). Differentiate and Simplify 2. f(x)=ln⁡(3x) e^(-x^2 ) (Answer with positive exponents...
1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14). Differentiate and Simplify 2. f(x)=ln⁡(3x) e^(-x^2 ) (Answer with positive exponents Integrate and Simplify 3. ∫▒(6x^2-5x)/√x dx
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT