Solve 5 + (x + 1)(x + 3) | 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

$$5+(x+1)(x+3)$$

Evaluate

$\left(x+1\right)\left(x+3\right)+5$

Solution Steps

Apply the distributive property by multiplying each term of $x+1$ by each term of $x+3$.

$$5+x^{2}+3x+x+3$$

Combine $3x$ and $x$ to get $4x$.

$$5+x^{2}+4x+3$$

Add $5$ and $3$ to get $8$.

$$8+x^{2}+4x$$

Expand

$x^{2}+4x+8$

Solution Steps

Apply the distributive property by multiplying each term of $x+1$ by each term of $x+3$.

$$5+x^{2}+3x+x+3$$

Combine $3x$ and $x$ to get $4x$.

$$5+x^{2}+4x+3$$

Add $5$ and $3$ to get $8$.

$$8+x^{2}+4x$$