Solve 9(x)^(2)+54xy+81(y)^(2) | 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

$$9 { x }^{ 2 } +54xy+81 { y }^{ 2 }$$

Factor

$9\left(x+3y\right)^{2}$

Solution Steps

Factor out $9$.

$$9\left(x^{2}+6xy+9y^{2}\right)$$

Consider $x^{2}+6xy+9y^{2}$. Use the perfect square formula, $a^{2}+2ab+b^{2}=\left(a+b\right)^{2}$, where $a=x$ and $b=3y$.

$$\left(x+3y\right)^{2}$$

Rewrite the complete factored expression.

$$9\left(x+3y\right)^{2}$$

Evaluate

$9\left(x+3y\right)^{2}$