How to solve (3x-6)(3x+6)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (3x-6)(3x+6) | Equatix

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

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$(3x-6)(3x+6)$$

Evaluate

$9\left(x^{2}-4\right)$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$\left(3x\right)^{2}-6^{2}$$

Expand $\left(3x\right)^{2}$.

$$3^{2}x^{2}-6^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$9x^{2}-6^{2}$$

Calculate $6$ to the power of $2$ and get $36$.

$$9x^{2}-36$$

Show Solution

Expand

$9x^{2}-36$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$\left(3x\right)^{2}-6^{2}$$

Expand $\left(3x\right)^{2}$.

$$3^{2}x^{2}-6^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$9x^{2}-6^{2}$$

Calculate $6$ to the power of $2$ and get $36$.

$$9x^{2}-36$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps