Solve (4p ^ 2 + 2p)/(6p ^ 2 - 12p) | 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

$$\frac{4p^{2}+2p}{6p^{2}-12p}$$

Evaluate

$\frac{2p+1}{3\left(p-2\right)}$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2p\left(2p+1\right)}{6p\left(p-2\right)}$$

Cancel out $2p$ in both numerator and denominator.

$$\frac{2p+1}{3\left(p-2\right)}$$

Expand the expression.

$$\frac{2p+1}{3p-6}$$

Expand

$\frac{2p+1}{3\left(p-2\right)}$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2p\left(2p+1\right)}{6p\left(p-2\right)}$$

Cancel out $2p$ in both numerator and denominator.

$$\frac{2p+1}{3\left(p-2\right)}$$

Expand the expression.

$$\frac{2p+1}{3p-6}$$