Subtract: x² – 2x + 1 x² – 1 We will factor each denominator, find the LCD, and build the rational expressions so each one has the LCD as its denominator. Since the denominators are different, we cannot subtract these rational expressions in their present form. We factor each denominator to find the LCD: x² – 2x + 1 = (x – 1)(x – 1) = (x – 1)2 x² – 1 = (x + 1)(x – 1) The greatest number of times x - 1 appears is twice. The greatest number of times x + 1 appears is once. The LCD is (x – 1)²(x + 1) or (x – 1)(x – 1)(x + 1). We now write each rational expression with its denominator in factored form. Then we multiply each numerator and denominator by the missing factor, so that each rational expression has a denominator of (x - 1)(x – 1)(x + 1). x + 1 x + 1 (x – 1)(x – 1) X - 4 (x + 1)(x – 1) x + 1 + 1 Write each denominator in factored form. x² – 2x + 1 1. x + 1 (x -– 1)(x – 1) x² + 2x + 1 (x – 1)(x – 1)(x + 1) (x² + 2x + 1) - (x² – 5x + 4) (x – 1)(x – 1)(x + 1) X - 4 Build each rational expression. (x + 1)(x – 1) X - 1 x2 - 5x + 4 (x + 1)(x – 1)(x – 1) Multiply the numerators using the FOIL method. Multiply the denominators. Subtract the numerators. Write the difference over the common denominator. x² + 2x + 1 – x² + 5x – 4 (x – 1)(x – 1)(x + 1) In the numerator, subtract the polynomials. %3D Combine like terms. The result does not simplify. (x – 1)(x – 1)(x + 1) a + 2 a2 - 4a + 4 a - Subtract:

Q: Find the restrictions for the following rational expressions:

A:

Q: The cost C of producing x thousand pairs of sunglasses is given by the equation C=-9x2+7210+380540…

A: The cost C of producing x thousand pairs of sunglasses is given by the equation C=-9x2+7210x+380540…

Q: x² + 2x + 4 . Xx² + 2x + 4_ 7x² – 7x Divide: 49x - 49

A:

Q: х+1, Зх + 3 7

A:

Q: When pr – 32x2 – divided by (2x + 3). Find the value of p 10x +r is divided by (x- 2), the remainder…

A:

Q: Determine the rational roots of the given equation 4x-3x 1

A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

Q: We have two rational expressions: The first rational expression has (a² – 2a – 35) in the numerator…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: (x + 7) (2x − 3) − (x³ − 2x² + x − 2) x-2

A:

Q: Solve the following rational equation for x: 4 x²+2x-3 x-1¹ x+3

A:

Q: Set up the box to use Synthetic division to divide on yc 23 + 6x2 + 11r + 6 by a +2.

A: We need to divide x3+6x2+11x+6 by x+2 write it as

Q: x² - 25 x² + 10x + 25 2x – 2 x² + 4x – 5

A: To find the restricted values of a rational expression: Set the denominator equal to zero Solve the…

Q: x - 2 2x + 6 3x + 9 2x – 4

A:

Q: please help and thank you for your time

A:

Q: Use synthetic division to find the quotient and remainder when 0.2x° + 0.5x is divided by x+ 0.9…

A: Quotients of 0.2x^3+0.5x are 0.2 , 0 , 0.5 , 0 We have to divide them by x+0.9=0 or x=-0.9

Quadratic Equation

When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.

Demand and Supply Function

The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.