Solve a 2a-\ 3a+4z-3(x- overline y-2z) \ Ба 3 (x 3

Arithmetic

Fractions & Decimals

Ratios & Proportions

Percentages

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

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

$$2 a - \{ 3 a + 4 z - 3 ( x - y - 2 z ) \}$$

Evaluate

$3x-3y-10z-a$

Solution Steps

Use the distributive property to multiply $-3$ by $x-y-2z$.

$$2a-\left(3a+4z-3x+3y+6z\right)$$

Combine $4z$ and $6z$ to get $10z$.

$$2a-\left(3a+10z-3x+3y\right)$$

To find the opposite of $3a+10z-3x+3y$, find the opposite of each term.

$$2a-3a-10z-\left(-3x\right)-3y$$

The opposite of $-3x$ is $3x$.

$$2a-3a-10z+3x-3y$$

Combine $2a$ and $-3a$ to get $-a$.

$$-a-10z+3x-3y$$

Show Solution

Expand

$3x-3y-10z-a$

Solution Steps

Use the distributive property to multiply $-3$ by $x-y-2z$.

$$2a-\left(3a+4z-3x+3y+6z\right)$$

Combine $4z$ and $6z$ to get $10z$.

$$2a-\left(3a+10z-3x+3y\right)$$

To find the opposite of $3a+10z-3x+3y$, find the opposite of each term.

$$2a-3a-10z-\left(-3x\right)-3y$$

The opposite of $-3x$ is $3x$.

$$2a-3a-10z+3x-3y$$

Combine $2a$ and $-3a$ to get $-a$.

$$-a-10z+3x-3y$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps