Create two rational expressions. Add or subtract them. Simplify the result. Show the steps you would use to find the original rational expressions (or their equivalents) using the method of partial fractions.

Q: 3x + 5 xp- x3 + 9x² + 27x+ 27)

A: Given that: ∫3x+5x3+9x2+27x+27dx

Q: Write each rational expression in lowest terms. \text { (a) } \frac{2 x^{2}+7 x-4}{5 x^{2}+20 x}…

A: Simplification of the given function in the numerator and denominator helps to write each rational…

Q: Write the rational expression in lowest term. 6x+21/8x+28

A: We need to factor the numerator and denominator of the expression first.We would factor the top and…

Q: 5x – 6 xp- 2x3 – x2 – 8x – 5 -

A:

Q: 2x+5 (d)Using the method of Partial fractions find f dx x2-8x+7

A: Let's find.

Q: Use any method to simplify the.complex fraction. 25z°x5 49 2 6 175x z° 21

A:

Q: Replace the A with the proper expression such that the fractions are equivalent. 3x A - %3D 4y 20y

A:

Q: Write the fraction shown below in simplest form. (2x2- 2х-12) (3x?- 3х- 6) (x? – 2x– 3) (x2 -x-2) O…

A: In this question we need to simplify the given equation

Q: Divide the rational expressions. m+13m+40 m +6m-27 m²-25 m4-81

A:

Q: xpress the following fraction in simplest form, only using positive xponents. 15d 9t4 (5d-3t)-2

A:

Q: -) Using partial fractions, you could find that 81? — 6л — 36 2т — 1 + T² + 9 -2 3 - (r +3)²(x² + 9)…

A: To solve the following integral

Q: x² + 4x + 3

A:

Q: What is the x-intercept of the fraction 9-x over x-5

A: To find the x- intercept put y=0

Q: when P(x) is divided by x2+3. The quotient is x2- 2 and the remainder is -5 find P(x).

A:

Q: 6. y dy 1+√√y √

A: The given integral,        ∫y dy1+y

Q: (4x2-3х+6) dx х*(х-2)

A:

Q: Replace the A with the proper expression such that the fractions are equivalent 6x2-24 A %3D x2 -4x…

A: Solution: According to our guideline we are supposed to answer only first question. Kindly repost…

Q: 1. Express as a simple fraction in lowest terms. a. (a- a2)/(a2 – 1) (a)/(a + 1) - a b.…

A: 1)a) We first factor the numerator. Then we use the LCD to simplify.…

Q: r(x) , where d(x) is the denominator of the original fraction, q(x) d(x)' Use synthetic division to…

A:

Q: Write the fraction shown below in simplest form. (2x3-2х-12) (3х2 -3х-6) (x? – 2x – 3) (x² -x-2) OA.…

A:

Q: Answer by method

A:

Q: 3 and 7x 4. Write in terms of the LCD of the fractions. 2y 5ху

A: LCD = Least common divisor

Q: Write the equivalent fraction for x2 4 that has a denominator of (x + 2)(x – 2)(2æ + 3). a) 10x +3…

A:

Q: Decompose the fraction 6 / (x+2)(x−4).

A:

Q: A rational expression is the quotient of two___________.

A: we know that A rational expression is the quotient of two polynomials

Q: which fraction is expressed in simplest form?  1. x-1/x2-2x+1 2. x-1/x2-1 3. x-1/x2+1 4.…

A: The right answer is x-1/x2+1 Because it already present in simplest form so we can't convert it into…

Q: Add the rational expressions. 7/2x(x+2) + x+3/x+2

A:

Q: The algebraic fraction is such that x +11 x2 + 13x + 40 ( +a) (x+b) Enter a: Enter b: Enter A: Enter…

A: The middle term splitting of quadratic equation and simple cross multiplication is used

Q: When the given rational expression below is resolved using partial fraction method, what is the sum…

A:

Q: Can I have an explanation pls?

A: topic - rational expressions to add two or more fractions,there denominators must be same

Q: - 3x3 X- 4 10x 4 3 x* - 2x

A: 10x2-3x3-x4x4-2x3=x2(10-3x-x2)x3(x-2)=10-3x-x2x(x-2)=-(x2+3x-10)x(x-2)=-(x2+5x-2x-10)x(x-2)

Q: Reduce the  rational expression to lowest terms (15x2 + 24x) / 3x2

A: We have to reduce the rational expression to lowest terms: 15x2+24x3x2 We know the property,…

Q: Reduce the  rational expression to lowest terms ( x2 + 4x - 5) /  ( x2 - 2x + 1 )

A: A rational expression is an expression in fractional form with the numerator and the denominator of…

Q: Determine the sum of the coefficients of the following rational expression after it is resolved…

A: To find the sum of coefficients of the rational expression of following-5s-36(s+2)(s2+9)

Q: write the rational exrpession in lowest term. y2-2y-15/y2-6y-27

A: Consider the given expression

Q: Find the remainder when: 3x3-2x2-4x+1 is divided by (x-2); and (x +3) When 3x -2x-4x + 1 is divided…

A: remainder is (9) remainder is (- 86)

Q: Divide the rational expressions. 22-p-2 ² p2-3p+2 2p2 +3p+1 p2 +9p-10

A:

Q: Reduce the  rational expression to lowest terms (4x2 + 8x) / (12x + 24)

A: A polynomial is an expression that is combination of variables raise to some power whereas rational…

Q: 2. y-2x : 2x -y 3a - b+ 4c 3. -2a + b-3c :2a-b+3c

A:

Q: Write the fraction shown below in simplest form. (2x²– 2x–12)(3x² – 3x-6) (x² – 2x – 3) (x² –x-2)

A:

Q: Which one of the following fractions is NOT an improper fraction? 2x' +x' +1 a. x(x+2)(x-1) x+3 b.…

A:

Q: 8c - 3 2с -1 с - 1 C с - 1

A: Given:8c-3c-1+2c-1c-1

Q: The algebraic fraction is such that -8x + 9 A B x² + x + (x + a) (x + b) 42 Enter a: Enter b: Enter…

A:

Q: Reduce the  rational expression to lowest terms ( 2x2 + 5x - 3 ) / ( 1 - 2x )

A: The given rational expression is, 2x2+5x-31-2x To reduce the given rational expression, we factorize…

Q: Subtract the fractions. Simplify if possible. x²-4 24-3x +4x-21 x+4x-21

A:

Q: Division with Partial Quotien Solve each problem. 1) 2 9,556 2) 8 7,472

A: topic - division

Q: Write the rational expression in lowest terms 2a-3 / 2 (2a-3 divided by 2)

A:

Q: Having trouble finding the domain with this fraction.

A: To determine the domain of the given (fraction) function

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.