Solve (x)^(2)-(1)/(4) | 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

$${ x }^{ 2 } - \frac{ 1 }{ 4 }$$

Factor

$\frac{\left(2x-1\right)\left(2x+1\right)}{4}$

Solution Steps

Factor out $\frac{1}{4}$.

$$\frac{4x^{2}-1}{4}$$

Consider $4x^{2}-1$. Rewrite $4x^{2}-1$ as $\left(2x\right)^{2}-1^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(2x-1\right)\left(2x+1\right)$$

Rewrite the complete factored expression.

$$\frac{\left(2x-1\right)\left(2x+1\right)}{4}$$

Evaluate

$x^{2}-\frac{1}{4}$