Solve 3x(x-1)-2Y(x-1)+2(x-1) | 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

$$3x(x-1)-2Y(x-1)+2(x-1)$$

Evaluate

$\left(x-1\right)\left(3x-2Y+2\right)$

Solution Steps

Use the distributive property to multiply $3x$ by $x-1$.

$$3x^{2}-3x-2Y\left(x-1\right)+2\left(x-1\right)$$

Use the distributive property to multiply $2$ by $x-1$.

$$3x^{2}-3x-2Y\left(x-1\right)+2x-2$$

Use the distributive property to multiply $-2Y$ by $x-1$.

$$3x^{2}-3x-2Yx+2Y+2x-2$$

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

$$3x^{2}-x-2Yx+2Y-2$$

Expand

$3x^{2}-2Yx-x+2Y-2$

Solution Steps

Use the distributive property to multiply $3x$ by $x-1$.

$$3x^{2}-3x-2Y\left(x-1\right)+2\left(x-1\right)$$

Use the distributive property to multiply $2$ by $x-1$.

$$3x^{2}-3x-2Y\left(x-1\right)+2x-2$$

Use the distributive property to multiply $-2Y$ by $x-1$.

$$3x^{2}-3x-2Yx+2Y+2x-2$$

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

$$3x^{2}-x-2Yx+2Y-2$$