Solve (x ^ 2)/(x ^ 2 + 6x + 8) + (4x)/(x ^ 2 + 6x + 8) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{x^{2}}{x^{2}+6x+8}+\frac{4x}{x^{2}+6x+8}$$

Evaluate

$\frac{x}{x+2}$

Short Solution Steps

Since $\frac{x^{2}}{x^{2}+6x+8}$ and $\frac{4x}{x^{2}+6x+8}$ have the same denominator, add them by adding their numerators.

$$\frac{x^{2}+4x}{x^{2}+6x+8}$$

Factor the expressions that are not already factored in $\frac{x^{2}+4x}{x^{2}+6x+8}$.

$$\frac{x\left(x+4\right)}{\left(x+2\right)\left(x+4\right)}$$

Cancel out $x+4$ in both numerator and denominator.

$$\frac{x}{x+2}$$

Factor

$\frac{x}{x+2}$