Solve 25/4 * x ^ 2 - (y ^ 2)/9 | 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

$$\frac{25}{4}x^{2}-\frac{y^{2}}{9}$$

Factor

$\frac{\left(15x-2y\right)\left(15x+2y\right)}{36}$

Solution Steps

Factor out $\frac{1}{36}$.

$$\frac{225x^{2}-4y^{2}}{36}$$

Consider $225x^{2}-4y^{2}$. Rewrite $225x^{2}-4y^{2}$ as $\left(15x\right)^{2}-\left(2y\right)^{2}$. The difference of squares can be factored using the rule: $a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$.

$$\left(15x-2y\right)\left(15x+2y\right)$$

Rewrite the complete factored expression.

$$\frac{\left(15x-2y\right)\left(15x+2y\right)}{36}$$

Evaluate

$\frac{25x^{2}}{4}-\frac{y^{2}}{9}$