Solve 3(x - 3) * 5(2x + t) | 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

$$3(x-3)5(2x+t)$$

Evaluate

$15\left(x-3\right)\left(2x+t\right)$

Solution Steps

Multiply $3$ and $5$ to get $15$.

$$15\left(x-3\right)\left(2x+t\right)$$

Use the distributive property to multiply $15$ by $x-3$.

$$\left(15x-45\right)\left(2x+t\right)$$

Apply the distributive property by multiplying each term of $15x-45$ by each term of $2x+t$.

$$30x^{2}+15xt-90x-45t$$

Expand

$30x^{2}+15tx-90x-45t$

Solution Steps

Multiply $3$ and $5$ to get $15$.

$$15\left(x-3\right)\left(2x+t\right)$$

Use the distributive property to multiply $15$ by $x-3$.

$$\left(15x-45\right)\left(2x+t\right)$$

Apply the distributive property by multiplying each term of $15x-45$ by each term of $2x+t$.

$$30x^{2}+15xt-90x-45t$$